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Finding the Fourth Proportional to 24,442.66, 36,646.02 and 7,793.11

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Solution

The fourth proportional to 24,442.66, 36,646.02 and 7,793.11 is: 11,683.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,442.66 : 36,646.02 = 7,793.11 : x
  2. Step 2: Convert to fraction form
    24,442.66/36,646.02 = 7,793.11/x
  3. Step 3: Cross multiply
    24,442.66x = 36,646.02 × 7,793.11
  4. Step 4: Simplify right side
    24,442.66x = 285,586,510.73
  5. Step 5: Solve for x
    x = 285,586,510.73/24,442.66
  6. Step 6: Final answer
    x = 11,683.94

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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.