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Finding the Fourth Proportional to 17,544.71, 24,211.41 and 9,586.77

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Solution

The fourth proportional to 17,544.71, 24,211.41 and 9,586.77 is: 13,229.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,544.71 : 24,211.41 = 9,586.77 : x
  2. Step 2: Convert to fraction form
    17,544.71/24,211.41 = 9,586.77/x
  3. Step 3: Cross multiply
    17,544.71x = 24,211.41 × 9,586.77
  4. Step 4: Simplify right side
    17,544.71x = 232,109,219.05
  5. Step 5: Solve for x
    x = 232,109,219.05/17,544.71
  6. Step 6: Final answer
    x = 13,229.58

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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.