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Finding the Fourth Proportional to 16,842.34, 25,249.80 and 6,306.45

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Solution

The fourth proportional to 16,842.34, 25,249.80 and 6,306.45 is: 9,454.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,842.34 : 25,249.80 = 6,306.45 : x
  2. Step 2: Convert to fraction form
    16,842.34/25,249.80 = 6,306.45/x
  3. Step 3: Cross multiply
    16,842.34x = 25,249.80 × 6,306.45
  4. Step 4: Simplify right side
    16,842.34x = 159,236,601.21
  5. Step 5: Solve for x
    x = 159,236,601.21/16,842.34
  6. Step 6: Final answer
    x = 9,454.54

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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.