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Finding the Fourth Proportional to 28,229.27, 42,353.15 and 11,597.13

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Solution

The fourth proportional to 28,229.27, 42,353.15 and 11,597.13 is: 17,399.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,229.27 : 42,353.15 = 11,597.13 : x
  2. Step 2: Convert to fraction form
    28,229.27/42,353.15 = 11,597.13/x
  3. Step 3: Cross multiply
    28,229.27x = 42,353.15 × 11,597.13
  4. Step 4: Simplify right side
    28,229.27x = 491,175,015.45
  5. Step 5: Solve for x
    x = 491,175,015.45/28,229.27
  6. Step 6: Final answer
    x = 17,399.50

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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.