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Finding the Fourth Proportional to 24,482, 36,723.72 and 6,014

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Solution

The fourth proportional to 24,482, 36,723.72 and 6,014 is: 9,021.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,482 : 36,723.72 = 6,014 : x
  2. Step 2: Convert to fraction form
    24,482/36,723.72 = 6,014/x
  3. Step 3: Cross multiply
    24,482x = 36,723.72 × 6,014
  4. Step 4: Simplify right side
    24,482x = 220,856,452.08
  5. Step 5: Solve for x
    x = 220,856,452.08/24,482
  6. Step 6: Final answer
    x = 9,021.18

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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.