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Finding the Fourth Proportional to 24,298.38, 33,539.52 and 15,785.52

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Solution

The fourth proportional to 24,298.38, 33,539.52 and 15,785.52 is: 21,789.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,298.38 : 33,539.52 = 15,785.52 : x
  2. Step 2: Convert to fraction form
    24,298.38/33,539.52 = 15,785.52/x
  3. Step 3: Cross multiply
    24,298.38x = 33,539.52 × 15,785.52
  4. Step 4: Simplify right side
    24,298.38x = 529,438,763.75
  5. Step 5: Solve for x
    x = 529,438,763.75/24,298.38
  6. Step 6: Final answer
    x = 21,789.06

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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.