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Finding the Fourth Proportional to 25,490.34, 38,234.46 and 8,854.14

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Solution

The fourth proportional to 25,490.34, 38,234.46 and 8,854.14 is: 13,280.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,490.34 : 38,234.46 = 8,854.14 : x
  2. Step 2: Convert to fraction form
    25,490.34/38,234.46 = 8,854.14/x
  3. Step 3: Cross multiply
    25,490.34x = 38,234.46 × 8,854.14
  4. Step 4: Simplify right side
    25,490.34x = 338,533,261.66
  5. Step 5: Solve for x
    x = 338,533,261.66/25,490.34
  6. Step 6: Final answer
    x = 13,280.85

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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.