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Finding the Fourth Proportional to 17,656.38, 24,387.39 and 13,199.94

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Solution

The fourth proportional to 17,656.38, 24,387.39 and 13,199.94 is: 18,232.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,656.38 : 24,387.39 = 13,199.94 : x
  2. Step 2: Convert to fraction form
    17,656.38/24,387.39 = 13,199.94/x
  3. Step 3: Cross multiply
    17,656.38x = 24,387.39 × 13,199.94
  4. Step 4: Simplify right side
    17,656.38x = 321,912,084.76
  5. Step 5: Solve for x
    x = 321,912,084.76/17,656.38
  6. Step 6: Final answer
    x = 18,232.05

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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.