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Finding the Fourth Proportional to 22,686.85, 34,041.78 and 10,204.34

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Solution

The fourth proportional to 22,686.85, 34,041.78 and 10,204.34 is: 15,311.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,686.85 : 34,041.78 = 10,204.34 : x
  2. Step 2: Convert to fraction form
    22,686.85/34,041.78 = 10,204.34/x
  3. Step 3: Cross multiply
    22,686.85x = 34,041.78 × 10,204.34
  4. Step 4: Simplify right side
    22,686.85x = 347,373,897.33
  5. Step 5: Solve for x
    x = 347,373,897.33/22,686.85
  6. Step 6: Final answer
    x = 15,311.68

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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.