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Finding the Fourth Proportional to 15,657.46, 23,493.76 and 6,891.24

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Solution

The fourth proportional to 15,657.46, 23,493.76 and 6,891.24 is: 10,340.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,657.46 : 23,493.76 = 6,891.24 : x
  2. Step 2: Convert to fraction form
    15,657.46/23,493.76 = 6,891.24/x
  3. Step 3: Cross multiply
    15,657.46x = 23,493.76 × 6,891.24
  4. Step 4: Simplify right side
    15,657.46x = 161,901,138.66
  5. Step 5: Solve for x
    x = 161,901,138.66/15,657.46
  6. Step 6: Final answer
    x = 10,340.19

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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.