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Finding the Fourth Proportional to 24,484.50, 36,729.36 and 7,838.58

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Solution

The fourth proportional to 24,484.50, 36,729.36 and 7,838.58 is: 11,758.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,484.50 : 36,729.36 = 7,838.58 : x
  2. Step 2: Convert to fraction form
    24,484.50/36,729.36 = 7,838.58/x
  3. Step 3: Cross multiply
    24,484.50x = 36,729.36 × 7,838.58
  4. Step 4: Simplify right side
    24,484.50x = 287,906,026.71
  5. Step 5: Solve for x
    x = 287,906,026.71/24,484.50
  6. Step 6: Final answer
    x = 11,758.71

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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.