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Finding the Fourth Proportional to 25,489.74, 38,234.62 and 9,691.06

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Solution

The fourth proportional to 25,489.74, 38,234.62 and 9,691.06 is: 14,536.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,489.74 : 38,234.62 = 9,691.06 : x
  2. Step 2: Convert to fraction form
    25,489.74/38,234.62 = 9,691.06/x
  3. Step 3: Cross multiply
    25,489.74x = 38,234.62 × 9,691.06
  4. Step 4: Simplify right side
    25,489.74x = 370,533,996.50
  5. Step 5: Solve for x
    x = 370,533,996.50/25,489.74
  6. Step 6: Final answer
    x = 14,536.59

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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.