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Finding the Fourth Proportional to 15,702.50, 23,557.22 and 5,175.76

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Solution

The fourth proportional to 15,702.50, 23,557.22 and 5,175.76 is: 7,764.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,702.50 : 23,557.22 = 5,175.76 : x
  2. Step 2: Convert to fraction form
    15,702.50/23,557.22 = 5,175.76/x
  3. Step 3: Cross multiply
    15,702.50x = 23,557.22 × 5,175.76
  4. Step 4: Simplify right side
    15,702.50x = 121,926,516.99
  5. Step 5: Solve for x
    x = 121,926,516.99/15,702.50
  6. Step 6: Final answer
    x = 7,764.78

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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.