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Finding the Fourth Proportional to 22,732.30, 34,097.82 and 13,436.74

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Solution

The fourth proportional to 22,732.30, 34,097.82 and 13,436.74 is: 20,154.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,732.30 : 34,097.82 = 13,436.74 : x
  2. Step 2: Convert to fraction form
    22,732.30/34,097.82 = 13,436.74/x
  3. Step 3: Cross multiply
    22,732.30x = 34,097.82 × 13,436.74
  4. Step 4: Simplify right side
    22,732.30x = 458,163,541.91
  5. Step 5: Solve for x
    x = 458,163,541.91/22,732.30
  6. Step 6: Final answer
    x = 20,154.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.