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Finding the Fourth Proportional to 16,407.32, 22,640.20 and 9,332.24

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Solution

The fourth proportional to 16,407.32, 22,640.20 and 9,332.24 is: 12,877.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,407.32 : 22,640.20 = 9,332.24 : x
  2. Step 2: Convert to fraction form
    16,407.32/22,640.20 = 9,332.24/x
  3. Step 3: Cross multiply
    16,407.32x = 22,640.20 × 9,332.24
  4. Step 4: Simplify right side
    16,407.32x = 211,283,780.05
  5. Step 5: Solve for x
    x = 211,283,780.05/16,407.32
  6. Step 6: Final answer
    x = 12,877.41

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