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Finding the Fourth Proportional to 17,102.70, 25,654.10 and 5,415.93

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Solution

The fourth proportional to 17,102.70, 25,654.10 and 5,415.93 is: 8,123.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,102.70 : 25,654.10 = 5,415.93 : x
  2. Step 2: Convert to fraction form
    17,102.70/25,654.10 = 5,415.93/x
  3. Step 3: Cross multiply
    17,102.70x = 25,654.10 × 5,415.93
  4. Step 4: Simplify right side
    17,102.70x = 138,940,782.73
  5. Step 5: Solve for x
    x = 138,940,782.73/17,102.70
  6. Step 6: Final answer
    x = 8,123.91

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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.