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Finding the Fourth Proportional to 13,398.52, 20,082.66 and 6,464.92

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Solution

The fourth proportional to 13,398.52, 20,082.66 and 6,464.92 is: 9,690.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,398.52 : 20,082.66 = 6,464.92 : x
  2. Step 2: Convert to fraction form
    13,398.52/20,082.66 = 6,464.92/x
  3. Step 3: Cross multiply
    13,398.52x = 20,082.66 × 6,464.92
  4. Step 4: Simplify right side
    13,398.52x = 129,832,790.29
  5. Step 5: Solve for x
    x = 129,832,790.29/13,398.52
  6. Step 6: Final answer
    x = 9,690.08

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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.