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Finding the Fourth Proportional to 12,565.92, 18,833.22 and 5,166.30

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Solution

The fourth proportional to 12,565.92, 18,833.22 and 5,166.30 is: 7,743.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,565.92 : 18,833.22 = 5,166.30 : x
  2. Step 2: Convert to fraction form
    12,565.92/18,833.22 = 5,166.30/x
  3. Step 3: Cross multiply
    12,565.92x = 18,833.22 × 5,166.30
  4. Step 4: Simplify right side
    12,565.92x = 97,298,064.49
  5. Step 5: Solve for x
    x = 97,298,064.49/12,565.92
  6. Step 6: Final answer
    x = 7,743.01

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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.