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Finding the Fourth Proportional to 12,725.61, 17,565.10 and 8,249.65

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Solution

The fourth proportional to 12,725.61, 17,565.10 and 8,249.65 is: 11,386.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,725.61 : 17,565.10 = 8,249.65 : x
  2. Step 2: Convert to fraction form
    12,725.61/17,565.10 = 8,249.65/x
  3. Step 3: Cross multiply
    12,725.61x = 17,565.10 × 8,249.65
  4. Step 4: Simplify right side
    12,725.61x = 144,905,909.08
  5. Step 5: Solve for x
    x = 144,905,909.08/12,725.61
  6. Step 6: Final answer
    x = 11,386.96

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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.