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Finding the Fourth Proportional to 24,469.76, 36,710.11 and 7,830.79

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Solution

The fourth proportional to 24,469.76, 36,710.11 and 7,830.79 is: 11,747.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,469.76 : 36,710.11 = 7,830.79 : x
  2. Step 2: Convert to fraction form
    24,469.76/36,710.11 = 7,830.79/x
  3. Step 3: Cross multiply
    24,469.76x = 36,710.11 × 7,830.79
  4. Step 4: Simplify right side
    24,469.76x = 287,469,123.13
  5. Step 5: Solve for x
    x = 287,469,123.13/24,469.76
  6. Step 6: Final answer
    x = 11,747.93

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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.