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Finding the Fourth Proportional to 22,714.89, 34,073.87 and 7,723.53

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Solution

The fourth proportional to 22,714.89, 34,073.87 and 7,723.53 is: 11,585.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,714.89 : 34,073.87 = 7,723.53 : x
  2. Step 2: Convert to fraction form
    22,714.89/34,073.87 = 7,723.53/x
  3. Step 3: Cross multiply
    22,714.89x = 34,073.87 × 7,723.53
  4. Step 4: Simplify right side
    22,714.89x = 263,170,518.54
  5. Step 5: Solve for x
    x = 263,170,518.54/22,714.89
  6. Step 6: Final answer
    x = 11,585.82

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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.