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Finding the Fourth Proportional to 12,680.46, 17,490.66 and 7,641.24

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Solution

The fourth proportional to 12,680.46, 17,490.66 and 7,641.24 is: 10,539.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,680.46 : 17,490.66 = 7,641.24 : x
  2. Step 2: Convert to fraction form
    12,680.46/17,490.66 = 7,641.24/x
  3. Step 3: Cross multiply
    12,680.46x = 17,490.66 × 7,641.24
  4. Step 4: Simplify right side
    12,680.46x = 133,650,330.82
  5. Step 5: Solve for x
    x = 133,650,330.82/12,680.46
  6. Step 6: Final answer
    x = 10,539.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.