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Finding the Fourth Proportional to 12,535.60, 17,299.98 and 7,230.78

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Solution

The fourth proportional to 12,535.60, 17,299.98 and 7,230.78 is: 9,978.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,535.60 : 17,299.98 = 7,230.78 : x
  2. Step 2: Convert to fraction form
    12,535.60/17,299.98 = 7,230.78/x
  3. Step 3: Cross multiply
    12,535.60x = 17,299.98 × 7,230.78
  4. Step 4: Simplify right side
    12,535.60x = 125,092,349.38
  5. Step 5: Solve for x
    x = 125,092,349.38/12,535.60
  6. Step 6: Final answer
    x = 9,978.97

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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.