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Finding the Fourth Proportional to 13,732.30, 20,589.34 and 4,966.08

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Solution

The fourth proportional to 13,732.30, 20,589.34 and 4,966.08 is: 7,445.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,732.30 : 20,589.34 = 4,966.08 : x
  2. Step 2: Convert to fraction form
    13,732.30/20,589.34 = 4,966.08/x
  3. Step 3: Cross multiply
    13,732.30x = 20,589.34 × 4,966.08
  4. Step 4: Simplify right side
    13,732.30x = 102,248,309.59
  5. Step 5: Solve for x
    x = 102,248,309.59/13,732.30
  6. Step 6: Final answer
    x = 7,445.83

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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.