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Finding the Fourth Proportional to 24,633, 36,949.50 and 9,848.52

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Solution

The fourth proportional to 24,633, 36,949.50 and 9,848.52 is: 14,772.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,633 : 36,949.50 = 9,848.52 : x
  2. Step 2: Convert to fraction form
    24,633/36,949.50 = 9,848.52/x
  3. Step 3: Cross multiply
    24,633x = 36,949.50 × 9,848.52
  4. Step 4: Simplify right side
    24,633x = 363,897,889.74
  5. Step 5: Solve for x
    x = 363,897,889.74/24,633
  6. Step 6: Final answer
    x = 14,772.78

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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.