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Finding the Fourth Proportional to 22,943.26, 31,658.88 and 13,510

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Solution

The fourth proportional to 22,943.26, 31,658.88 and 13,510 is: 18,642.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,943.26 : 31,658.88 = 13,510 : x
  2. Step 2: Convert to fraction form
    22,943.26/31,658.88 = 13,510/x
  3. Step 3: Cross multiply
    22,943.26x = 31,658.88 × 13,510
  4. Step 4: Simplify right side
    22,943.26x = 427,711,468.80
  5. Step 5: Solve for x
    x = 427,711,468.80/22,943.26
  6. Step 6: Final answer
    x = 18,642.14

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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.