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Finding the Fourth Proportional to 12,565.28, 18,843.50 and 3,678.16

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Solution

The fourth proportional to 12,565.28, 18,843.50 and 3,678.16 is: 5,515.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,565.28 : 18,843.50 = 3,678.16 : x
  2. Step 2: Convert to fraction form
    12,565.28/18,843.50 = 3,678.16/x
  3. Step 3: Cross multiply
    12,565.28x = 18,843.50 × 3,678.16
  4. Step 4: Simplify right side
    12,565.28x = 69,309,407.96
  5. Step 5: Solve for x
    x = 69,309,407.96/12,565.28
  6. Step 6: Final answer
    x = 5,515.95

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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.