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Finding the Fourth Proportional to 16,949,016.40, 23,388,649.40 and 9,213,991.06

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Solution

The fourth proportional to 16,949,016.40, 23,388,649.40 and 9,213,991.06 is: 12,714,767.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,949,016.40 : 23,388,649.40 = 9,213,991.06 : x
  2. Step 2: Convert to fraction form
    16,949,016.40/23,388,649.40 = 9,213,991.06/x
  3. Step 3: Cross multiply
    16,949,016.40x = 23,388,649.40 × 9,213,991.06
  4. Step 4: Simplify right side
    16,949,016.40x = 215,502,806,477,074.38
  5. Step 5: Solve for x
    x = 215,502,806,477,074.38/16,949,016.40
  6. Step 6: Final answer
    x = 12,714,767.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.