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Finding the Fourth Proportional to 20,116.52, 30,184.83 and 9,031.13

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Solution

The fourth proportional to 20,116.52, 30,184.83 and 9,031.13 is: 13,551.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,116.52 : 30,184.83 = 9,031.13 : x
  2. Step 2: Convert to fraction form
    20,116.52/30,184.83 = 9,031.13/x
  3. Step 3: Cross multiply
    20,116.52x = 30,184.83 × 9,031.13
  4. Step 4: Simplify right side
    20,116.52x = 272,602,972.83
  5. Step 5: Solve for x
    x = 272,602,972.83/20,116.52
  6. Step 6: Final answer
    x = 13,551.20

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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.