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Finding the Fourth Proportional to 12,565.20, 17,340.12 and 6,899.12

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Solution

The fourth proportional to 12,565.20, 17,340.12 and 6,899.12 is: 9,520.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,565.20 : 17,340.12 = 6,899.12 : x
  2. Step 2: Convert to fraction form
    12,565.20/17,340.12 = 6,899.12/x
  3. Step 3: Cross multiply
    12,565.20x = 17,340.12 × 6,899.12
  4. Step 4: Simplify right side
    12,565.20x = 119,631,568.69
  5. Step 5: Solve for x
    x = 119,631,568.69/12,565.20
  6. Step 6: Final answer
    x = 9,520.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.