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Finding the Fourth Proportional to 24,513.67, 36,738.20 and 9,714.52

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Solution

The fourth proportional to 24,513.67, 36,738.20 and 9,714.52 is: 14,558.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,513.67 : 36,738.20 = 9,714.52 : x
  2. Step 2: Convert to fraction form
    24,513.67/36,738.20 = 9,714.52/x
  3. Step 3: Cross multiply
    24,513.67x = 36,738.20 × 9,714.52
  4. Step 4: Simplify right side
    24,513.67x = 356,894,048.87
  5. Step 5: Solve for x
    x = 356,894,048.87/24,513.67
  6. Step 6: Final answer
    x = 14,558.98

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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.