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Finding the Fourth Proportional to 16,375,491.16, 22,597,154.94 and 9,033,409.24

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Solution

The fourth proportional to 16,375,491.16, 22,597,154.94 and 9,033,409.24 is: 12,465,540.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,375,491.16 : 22,597,154.94 = 9,033,409.24 : x
  2. Step 2: Convert to fraction form
    16,375,491.16/22,597,154.94 = 9,033,409.24/x
  3. Step 3: Cross multiply
    16,375,491.16x = 22,597,154.94 × 9,033,409.24
  4. Step 4: Simplify right side
    16,375,491.16x = 204,129,348,232,707.66
  5. Step 5: Solve for x
    x = 204,129,348,232,707.66/16,375,491.16
  6. Step 6: Final answer
    x = 12,465,540.50

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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.