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Finding the Fourth Proportional to 24,071.76, 36,107.04 and 10,914.56

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Solution

The fourth proportional to 24,071.76, 36,107.04 and 10,914.56 is: 16,371.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,071.76 : 36,107.04 = 10,914.56 : x
  2. Step 2: Convert to fraction form
    24,071.76/36,107.04 = 10,914.56/x
  3. Step 3: Cross multiply
    24,071.76x = 36,107.04 × 10,914.56
  4. Step 4: Simplify right side
    24,071.76x = 394,092,454.50
  5. Step 5: Solve for x
    x = 394,092,454.50/24,071.76
  6. Step 6: Final answer
    x = 16,371.57

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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.