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Finding the Fourth Proportional to 22,436.64, 30,957.12 and 13,491

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Solution

The fourth proportional to 22,436.64, 30,957.12 and 13,491 is: 18,614.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,436.64 : 30,957.12 = 13,491 : x
  2. Step 2: Convert to fraction form
    22,436.64/30,957.12 = 13,491/x
  3. Step 3: Cross multiply
    22,436.64x = 30,957.12 × 13,491
  4. Step 4: Simplify right side
    22,436.64x = 417,642,505.92
  5. Step 5: Solve for x
    x = 417,642,505.92/22,436.64
  6. Step 6: Final answer
    x = 18,614.31

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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.