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Finding the Fourth Proportional to 13,418, 18,516.48 and 7,449.92

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Solution

The fourth proportional to 13,418, 18,516.48 and 7,449.92 is: 10,280.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,418 : 18,516.48 = 7,449.92 : x
  2. Step 2: Convert to fraction form
    13,418/18,516.48 = 7,449.92/x
  3. Step 3: Cross multiply
    13,418x = 18,516.48 × 7,449.92
  4. Step 4: Simplify right side
    13,418x = 137,946,294.68
  5. Step 5: Solve for x
    x = 137,946,294.68/13,418
  6. Step 6: Final answer
    x = 10,280.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.