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Finding the Fourth Proportional to 24,105.84, 36,151.08 and 7,686

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Solution

The fourth proportional to 24,105.84, 36,151.08 and 7,686 is: 11,526.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,105.84 : 36,151.08 = 7,686 : x
  2. Step 2: Convert to fraction form
    24,105.84/36,151.08 = 7,686/x
  3. Step 3: Cross multiply
    24,105.84x = 36,151.08 × 7,686
  4. Step 4: Simplify right side
    24,105.84x = 277,857,200.88
  5. Step 5: Solve for x
    x = 277,857,200.88/24,105.84
  6. Step 6: Final answer
    x = 11,526.55

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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.