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Finding the Fourth Proportional to 24,364.40, 36,524.52 and 8,771

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Solution

The fourth proportional to 24,364.40, 36,524.52 and 8,771 is: 13,148.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,364.40 : 36,524.52 = 8,771 : x
  2. Step 2: Convert to fraction form
    24,364.40/36,524.52 = 8,771/x
  3. Step 3: Cross multiply
    24,364.40x = 36,524.52 × 8,771
  4. Step 4: Simplify right side
    24,364.40x = 320,356,564.92
  5. Step 5: Solve for x
    x = 320,356,564.92/24,364.40
  6. Step 6: Final answer
    x = 13,148.55

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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.