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Finding the Fourth Proportional to 15,834.66, 23,760.09 and 6,481.59

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Solution

The fourth proportional to 15,834.66, 23,760.09 and 6,481.59 is: 9,725.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,834.66 : 23,760.09 = 6,481.59 : x
  2. Step 2: Convert to fraction form
    15,834.66/23,760.09 = 6,481.59/x
  3. Step 3: Cross multiply
    15,834.66x = 23,760.09 × 6,481.59
  4. Step 4: Simplify right side
    15,834.66x = 154,003,161.74
  5. Step 5: Solve for x
    x = 154,003,161.74/15,834.66
  6. Step 6: Final answer
    x = 9,725.70

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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.