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Finding the Fourth Proportional to 16,470.56, 22,731.28 and 9,398

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Solution

The fourth proportional to 16,470.56, 22,731.28 and 9,398 is: 12,970.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,470.56 : 22,731.28 = 9,398 : x
  2. Step 2: Convert to fraction form
    16,470.56/22,731.28 = 9,398/x
  3. Step 3: Cross multiply
    16,470.56x = 22,731.28 × 9,398
  4. Step 4: Simplify right side
    16,470.56x = 213,628,569.44
  5. Step 5: Solve for x
    x = 213,628,569.44/16,470.56
  6. Step 6: Final answer
    x = 12,970.33

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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.