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Finding the Fourth Proportional to 24,472.08, 36,682.92 and 9,675

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Solution

The fourth proportional to 24,472.08, 36,682.92 and 9,675 is: 14,502.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,472.08 : 36,682.92 = 9,675 : x
  2. Step 2: Convert to fraction form
    24,472.08/36,682.92 = 9,675/x
  3. Step 3: Cross multiply
    24,472.08x = 36,682.92 × 9,675
  4. Step 4: Simplify right side
    24,472.08x = 354,907,251
  5. Step 5: Solve for x
    x = 354,907,251/24,472.08
  6. Step 6: Final answer
    x = 14,502.54

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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.