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Finding the Fourth Proportional to 24,654.84, 36,982.02 and 7,124.52

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Solution

The fourth proportional to 24,654.84, 36,982.02 and 7,124.52 is: 10,686.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,654.84 : 36,982.02 = 7,124.52 : x
  2. Step 2: Convert to fraction form
    24,654.84/36,982.02 = 7,124.52/x
  3. Step 3: Cross multiply
    24,654.84x = 36,982.02 × 7,124.52
  4. Step 4: Simplify right side
    24,654.84x = 263,479,141.13
  5. Step 5: Solve for x
    x = 263,479,141.13/24,654.84
  6. Step 6: Final answer
    x = 10,686.71

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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.