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Finding the Fourth Proportional to 17,122.64, 25,658.70 and 7,765.52

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Solution

The fourth proportional to 17,122.64, 25,658.70 and 7,765.52 is: 11,636.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,122.64 : 25,658.70 = 7,765.52 : x
  2. Step 2: Convert to fraction form
    17,122.64/25,658.70 = 7,765.52/x
  3. Step 3: Cross multiply
    17,122.64x = 25,658.70 × 7,765.52
  4. Step 4: Simplify right side
    17,122.64x = 199,253,148.02
  5. Step 5: Solve for x
    x = 199,253,148.02/17,122.64
  6. Step 6: Final answer
    x = 11,636.82

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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.