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Finding the Fourth Proportional to 17,544.74, 24,211.45 and 9,586.78

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Solution

The fourth proportional to 17,544.74, 24,211.45 and 9,586.78 is: 13,229.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,544.74 : 24,211.45 = 9,586.78 : x
  2. Step 2: Convert to fraction form
    17,544.74/24,211.45 = 9,586.78/x
  3. Step 3: Cross multiply
    17,544.74x = 24,211.45 × 9,586.78
  4. Step 4: Simplify right side
    17,544.74x = 232,109,820.66
  5. Step 5: Solve for x
    x = 232,109,820.66/17,544.74
  6. Step 6: Final answer
    x = 13,229.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.