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Finding the Fourth Proportional to 25,710.14, 38,565.22 and 8,179.98

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Solution

The fourth proportional to 25,710.14, 38,565.22 and 8,179.98 is: 12,269.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,710.14 : 38,565.22 = 8,179.98 : x
  2. Step 2: Convert to fraction form
    25,710.14/38,565.22 = 8,179.98/x
  3. Step 3: Cross multiply
    25,710.14x = 38,565.22 × 8,179.98
  4. Step 4: Simplify right side
    25,710.14x = 315,462,728.30
  5. Step 5: Solve for x
    x = 315,462,728.30/25,710.14
  6. Step 6: Final answer
    x = 12,269.97

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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.