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Finding the Fourth Proportional to 22,468.69, 30,997.18 and 13,510.90

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Solution

The fourth proportional to 22,468.69, 30,997.18 and 13,510.90 is: 18,639.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,468.69 : 30,997.18 = 13,510.90 : x
  2. Step 2: Convert to fraction form
    22,468.69/30,997.18 = 13,510.90/x
  3. Step 3: Cross multiply
    22,468.69x = 30,997.18 × 13,510.90
  4. Step 4: Simplify right side
    22,468.69x = 418,799,799.26
  5. Step 5: Solve for x
    x = 418,799,799.26/22,468.69
  6. Step 6: Final answer
    x = 18,639.26

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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.