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Finding the Fourth Proportional to 13,438.38, 18,545.58 and 7,469.86

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Solution

The fourth proportional to 13,438.38, 18,545.58 and 7,469.86 is: 10,308.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,438.38 : 18,545.58 = 7,469.86 : x
  2. Step 2: Convert to fraction form
    13,438.38/18,545.58 = 7,469.86/x
  3. Step 3: Cross multiply
    13,438.38x = 18,545.58 × 7,469.86
  4. Step 4: Simplify right side
    13,438.38x = 138,532,886.22
  5. Step 5: Solve for x
    x = 138,532,886.22/13,438.38
  6. Step 6: Final answer
    x = 10,308.75

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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.