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Finding the Fourth Proportional to 22,769, 34,159.26 and 6,353

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Solution

The fourth proportional to 22,769, 34,159.26 and 6,353 is: 9,531.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,769 : 34,159.26 = 6,353 : x
  2. Step 2: Convert to fraction form
    22,769/34,159.26 = 6,353/x
  3. Step 3: Cross multiply
    22,769x = 34,159.26 × 6,353
  4. Step 4: Simplify right side
    22,769x = 217,013,778.78
  5. Step 5: Solve for x
    x = 217,013,778.78/22,769
  6. Step 6: Final answer
    x = 9,531.11

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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.