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Finding the Fourth Proportional to 17,809.50, 24,576.84 and 12,714.42

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Solution

The fourth proportional to 17,809.50, 24,576.84 and 12,714.42 is: 17,545.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,809.50 : 24,576.84 = 12,714.42 : x
  2. Step 2: Convert to fraction form
    17,809.50/24,576.84 = 12,714.42/x
  3. Step 3: Cross multiply
    17,809.50x = 24,576.84 × 12,714.42
  4. Step 4: Simplify right side
    17,809.50x = 312,480,266.03
  5. Step 5: Solve for x
    x = 312,480,266.03/17,809.50
  6. Step 6: Final answer
    x = 17,545.71

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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.