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Finding the Fourth Proportional to 24,404.76, 36,607.14 and 8,822.52

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Solution

The fourth proportional to 24,404.76, 36,607.14 and 8,822.52 is: 13,233.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,404.76 : 36,607.14 = 8,822.52 : x
  2. Step 2: Convert to fraction form
    24,404.76/36,607.14 = 8,822.52/x
  3. Step 3: Cross multiply
    24,404.76x = 36,607.14 × 8,822.52
  4. Step 4: Simplify right side
    24,404.76x = 322,967,224.79
  5. Step 5: Solve for x
    x = 322,967,224.79/24,404.76
  6. Step 6: Final answer
    x = 13,233.78

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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.