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Finding the Fourth Proportional to 24,121.50, 36,182.74 and 6,591.76

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Solution

The fourth proportional to 24,121.50, 36,182.74 and 6,591.76 is: 9,887.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,121.50 : 36,182.74 = 6,591.76 : x
  2. Step 2: Convert to fraction form
    24,121.50/36,182.74 = 6,591.76/x
  3. Step 3: Cross multiply
    24,121.50x = 36,182.74 × 6,591.76
  4. Step 4: Simplify right side
    24,121.50x = 238,507,938.22
  5. Step 5: Solve for x
    x = 238,507,938.22/24,121.50
  6. Step 6: Final answer
    x = 9,887.77

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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.