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Finding the Fourth Proportional to 12,575.71, 17,359.77 and 8,488.29

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Solution

The fourth proportional to 12,575.71, 17,359.77 and 8,488.29 is: 11,717.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,575.71 : 17,359.77 = 8,488.29 : x
  2. Step 2: Convert to fraction form
    12,575.71/17,359.77 = 8,488.29/x
  3. Step 3: Cross multiply
    12,575.71x = 17,359.77 × 8,488.29
  4. Step 4: Simplify right side
    12,575.71x = 147,354,811.28
  5. Step 5: Solve for x
    x = 147,354,811.28/12,575.71
  6. Step 6: Final answer
    x = 11,717.42

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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.