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Finding the Fourth Proportional to 16,842.09, 25,249.42 and 6,306.20

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Solution

The fourth proportional to 16,842.09, 25,249.42 and 6,306.20 is: 9,454.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,842.09 : 25,249.42 = 6,306.20 : x
  2. Step 2: Convert to fraction form
    16,842.09/25,249.42 = 6,306.20/x
  3. Step 3: Cross multiply
    16,842.09x = 25,249.42 × 6,306.20
  4. Step 4: Simplify right side
    16,842.09x = 159,227,750.39
  5. Step 5: Solve for x
    x = 159,227,750.39/16,842.09
  6. Step 6: Final answer
    x = 9,454.16

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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.