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Finding the Fourth Proportional to 15,841.92, 23,770.98 and 10,580.52

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Solution

The fourth proportional to 15,841.92, 23,770.98 and 10,580.52 is: 15,876.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,841.92 : 23,770.98 = 10,580.52 : x
  2. Step 2: Convert to fraction form
    15,841.92/23,770.98 = 10,580.52/x
  3. Step 3: Cross multiply
    15,841.92x = 23,770.98 × 10,580.52
  4. Step 4: Simplify right side
    15,841.92x = 251,509,329.31
  5. Step 5: Solve for x
    x = 251,509,329.31/15,841.92
  6. Step 6: Final answer
    x = 15,876.19

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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.