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Finding the Fourth Proportional to 24,277, 36,411.42 and 6,748.60

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Solution

The fourth proportional to 24,277, 36,411.42 and 6,748.60 is: 10,121.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,277 : 36,411.42 = 6,748.60 : x
  2. Step 2: Convert to fraction form
    24,277/36,411.42 = 6,748.60/x
  3. Step 3: Cross multiply
    24,277x = 36,411.42 × 6,748.60
  4. Step 4: Simplify right side
    24,277x = 245,726,109.01
  5. Step 5: Solve for x
    x = 245,726,109.01/24,277
  6. Step 6: Final answer
    x = 10,121.77

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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.