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Finding the Fourth Proportional to 24,098, 36,147 and 7,682

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Solution

The fourth proportional to 24,098, 36,147 and 7,682 is: 11,523

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,098 : 36,147 = 7,682 : x
  2. Step 2: Convert to fraction form
    24,098/36,147 = 7,682/x
  3. Step 3: Cross multiply
    24,098x = 36,147 × 7,682
  4. Step 4: Simplify right side
    24,098x = 277,681,254
  5. Step 5: Solve for x
    x = 277,681,254/24,098
  6. Step 6: Final answer
    x = 11,523

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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.