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Finding the Fourth Proportional to 15,649.74, 23,335.00 and 13,911.08

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Solution

The fourth proportional to 15,649.74, 23,335.00 and 13,911.08 is: 20,742.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,649.74 : 23,335.00 = 13,911.08 : x
  2. Step 2: Convert to fraction form
    15,649.74/23,335.00 = 13,911.08/x
  3. Step 3: Cross multiply
    15,649.74x = 23,335.00 × 13,911.08
  4. Step 4: Simplify right side
    15,649.74x = 324,614,900.35
  5. Step 5: Solve for x
    x = 324,614,900.35/15,649.74
  6. Step 6: Final answer
    x = 20,742.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.