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Finding the Fourth Proportional to 24,502.63, 36,757.38 and 7,858.75

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Solution

The fourth proportional to 24,502.63, 36,757.38 and 7,858.75 is: 11,789.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,502.63 : 36,757.38 = 7,858.75 : x
  2. Step 2: Convert to fraction form
    24,502.63/36,757.38 = 7,858.75/x
  3. Step 3: Cross multiply
    24,502.63x = 36,757.38 × 7,858.75
  4. Step 4: Simplify right side
    24,502.63x = 288,867,060.08
  5. Step 5: Solve for x
    x = 288,867,060.08/24,502.63
  6. Step 6: Final answer
    x = 11,789.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.