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Finding the Fourth Proportional to 12,447.90, 17,177.70 and 7,142.58

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Solution

The fourth proportional to 12,447.90, 17,177.70 and 7,142.58 is: 9,856.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,447.90 : 17,177.70 = 7,142.58 : x
  2. Step 2: Convert to fraction form
    12,447.90/17,177.70 = 7,142.58/x
  3. Step 3: Cross multiply
    12,447.90x = 17,177.70 × 7,142.58
  4. Step 4: Simplify right side
    12,447.90x = 122,693,096.47
  5. Step 5: Solve for x
    x = 122,693,096.47/12,447.90
  6. Step 6: Final answer
    x = 9,856.53

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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.