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Finding the Fourth Proportional to 22,714.89, 34,077.80 and 9,571.02

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Solution

The fourth proportional to 22,714.89, 34,077.80 and 9,571.02 is: 14,358.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,714.89 : 34,077.80 = 9,571.02 : x
  2. Step 2: Convert to fraction form
    22,714.89/34,077.80 = 9,571.02/x
  3. Step 3: Cross multiply
    22,714.89x = 34,077.80 × 9,571.02
  4. Step 4: Simplify right side
    22,714.89x = 326,159,305.36
  5. Step 5: Solve for x
    x = 326,159,305.36/22,714.89
  6. Step 6: Final answer
    x = 14,358.83

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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.