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Finding the Fourth Proportional to 17,542.32, 24,200.28 and 10,086

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Solution

The fourth proportional to 17,542.32, 24,200.28 and 10,086 is: 13,914.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,542.32 : 24,200.28 = 10,086 : x
  2. Step 2: Convert to fraction form
    17,542.32/24,200.28 = 10,086/x
  3. Step 3: Cross multiply
    17,542.32x = 24,200.28 × 10,086
  4. Step 4: Simplify right side
    17,542.32x = 244,084,024.08
  5. Step 5: Solve for x
    x = 244,084,024.08/17,542.32
  6. Step 6: Final answer
    x = 13,914.01

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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.