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Finding the Fourth Proportional to 25,105.10, 37,648.04 and 8,460.65

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Solution

The fourth proportional to 25,105.10, 37,648.04 and 8,460.65 is: 12,687.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,105.10 : 37,648.04 = 8,460.65 : x
  2. Step 2: Convert to fraction form
    25,105.10/37,648.04 = 8,460.65/x
  3. Step 3: Cross multiply
    25,105.10x = 37,648.04 × 8,460.65
  4. Step 4: Simplify right side
    25,105.10x = 318,526,659.08
  5. Step 5: Solve for x
    x = 318,526,659.08/25,105.10
  6. Step 6: Final answer
    x = 12,687.73

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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.