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Finding the Fourth Proportional to 25,741.65, 38,613.16 and 8,211.48

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Solution

The fourth proportional to 25,741.65, 38,613.16 and 8,211.48 is: 12,317.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,741.65 : 38,613.16 = 8,211.48 : x
  2. Step 2: Convert to fraction form
    25,741.65/38,613.16 = 8,211.48/x
  3. Step 3: Cross multiply
    25,741.65x = 38,613.16 × 8,211.48
  4. Step 4: Simplify right side
    25,741.65x = 317,071,010.35
  5. Step 5: Solve for x
    x = 317,071,010.35/25,741.65
  6. Step 6: Final answer
    x = 12,317.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.