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Finding the Fourth Proportional to 12,781.59, 17,635.89 and 7,475.34

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Solution

The fourth proportional to 12,781.59, 17,635.89 and 7,475.34 is: 10,314.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,781.59 : 17,635.89 = 7,475.34 : x
  2. Step 2: Convert to fraction form
    12,781.59/17,635.89 = 7,475.34/x
  3. Step 3: Cross multiply
    12,781.59x = 17,635.89 × 7,475.34
  4. Step 4: Simplify right side
    12,781.59x = 131,834,273.95
  5. Step 5: Solve for x
    x = 131,834,273.95/12,781.59
  6. Step 6: Final answer
    x = 10,314.39

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Why These Related Problems?

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