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Finding the Fourth Proportional to 20,732.52, 31,089.06 and 9,036.12

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Solution

The fourth proportional to 20,732.52, 31,089.06 and 9,036.12 is: 13,549.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,732.52 : 31,089.06 = 9,036.12 : x
  2. Step 2: Convert to fraction form
    20,732.52/31,089.06 = 9,036.12/x
  3. Step 3: Cross multiply
    20,732.52x = 31,089.06 × 9,036.12
  4. Step 4: Simplify right side
    20,732.52x = 280,924,476.85
  5. Step 5: Solve for x
    x = 280,924,476.85/20,732.52
  6. Step 6: Final answer
    x = 13,549.94

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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.