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Finding the Fourth Proportional to 24,607.52, 36,893.38 and 9,812

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Solution

The fourth proportional to 24,607.52, 36,893.38 and 9,812 is: 14,710.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,607.52 : 36,893.38 = 9,812 : x
  2. Step 2: Convert to fraction form
    24,607.52/36,893.38 = 9,812/x
  3. Step 3: Cross multiply
    24,607.52x = 36,893.38 × 9,812
  4. Step 4: Simplify right side
    24,607.52x = 361,997,844.56
  5. Step 5: Solve for x
    x = 361,997,844.56/24,607.52
  6. Step 6: Final answer
    x = 14,710.86

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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.