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Finding the Fourth Proportional to 26,549.16, 39,795.96 and 9,902.50

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Solution

The fourth proportional to 26,549.16, 39,795.96 and 9,902.50 is: 14,843.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,549.16 : 39,795.96 = 9,902.50 : x
  2. Step 2: Convert to fraction form
    26,549.16/39,795.96 = 9,902.50/x
  3. Step 3: Cross multiply
    26,549.16x = 39,795.96 × 9,902.50
  4. Step 4: Simplify right side
    26,549.16x = 394,079,493.90
  5. Step 5: Solve for x
    x = 394,079,493.90/26,549.16
  6. Step 6: Final answer
    x = 14,843.39

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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.