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Finding the Fourth Proportional to 13,438.14, 18,543.20 and 7,468.86

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Solution

The fourth proportional to 13,438.14, 18,543.20 and 7,468.86 is: 10,306.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,438.14 : 18,543.20 = 7,468.86 : x
  2. Step 2: Convert to fraction form
    13,438.14/18,543.20 = 7,468.86/x
  3. Step 3: Cross multiply
    13,438.14x = 18,543.20 × 7,468.86
  4. Step 4: Simplify right side
    13,438.14x = 138,496,564.75
  5. Step 5: Solve for x
    x = 138,496,564.75/13,438.14
  6. Step 6: Final answer
    x = 10,306.23

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