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Finding the Fourth Proportional to 26,425.52, 39,626.76 and 9,998

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Solution

The fourth proportional to 26,425.52, 39,626.76 and 9,998 is: 14,992.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,425.52 : 39,626.76 = 9,998 : x
  2. Step 2: Convert to fraction form
    26,425.52/39,626.76 = 9,998/x
  3. Step 3: Cross multiply
    26,425.52x = 39,626.76 × 9,998
  4. Step 4: Simplify right side
    26,425.52x = 396,188,346.48
  5. Step 5: Solve for x
    x = 396,188,346.48/26,425.52
  6. Step 6: Final answer
    x = 14,992.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.