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Finding the Fourth Proportional to 16,592, 22,894.72 and 9,517.12

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Solution

The fourth proportional to 16,592, 22,894.72 and 9,517.12 is: 13,132.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,592 : 22,894.72 = 9,517.12 : x
  2. Step 2: Convert to fraction form
    16,592/22,894.72 = 9,517.12/x
  3. Step 3: Cross multiply
    16,592x = 22,894.72 × 9,517.12
  4. Step 4: Simplify right side
    16,592x = 217,891,797.61
  5. Step 5: Solve for x
    x = 217,891,797.61/16,592
  6. Step 6: Final answer
    x = 13,132.34

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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.