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Finding the Fourth Proportional to 17,134.29, 25,684.01 and 7,780.97

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Solution

The fourth proportional to 17,134.29, 25,684.01 and 7,780.97 is: 11,663.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,134.29 : 25,684.01 = 7,780.97 : x
  2. Step 2: Convert to fraction form
    17,134.29/25,684.01 = 7,780.97/x
  3. Step 3: Cross multiply
    17,134.29x = 25,684.01 × 7,780.97
  4. Step 4: Simplify right side
    17,134.29x = 199,846,565.77
  5. Step 5: Solve for x
    x = 199,846,565.77/17,134.29
  6. Step 6: Final answer
    x = 11,663.55

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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.