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Finding the Fourth Proportional to 22,729.86, 34,100.15 and 7,147.49

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Solution

The fourth proportional to 22,729.86, 34,100.15 and 7,147.49 is: 10,722.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,729.86 : 34,100.15 = 7,147.49 : x
  2. Step 2: Convert to fraction form
    22,729.86/34,100.15 = 7,147.49/x
  3. Step 3: Cross multiply
    22,729.86x = 34,100.15 × 7,147.49
  4. Step 4: Simplify right side
    22,729.86x = 243,730,328.49
  5. Step 5: Solve for x
    x = 243,730,328.49/22,729.86
  6. Step 6: Final answer
    x = 10,722.91

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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.