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Finding the Fourth Proportional to 16,288.78, 24,463.27 and 9,755.12

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Solution

The fourth proportional to 16,288.78, 24,463.27 and 9,755.12 is: 14,650.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,288.78 : 24,463.27 = 9,755.12 : x
  2. Step 2: Convert to fraction form
    16,288.78/24,463.27 = 9,755.12/x
  3. Step 3: Cross multiply
    16,288.78x = 24,463.27 × 9,755.12
  4. Step 4: Simplify right side
    16,288.78x = 238,642,118.52
  5. Step 5: Solve for x
    x = 238,642,118.52/16,288.78
  6. Step 6: Final answer
    x = 14,650.70

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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.