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Finding the Fourth Proportional to 22,793.02, 34,193.14 and 9,645.50

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Solution

The fourth proportional to 22,793.02, 34,193.14 and 9,645.50 is: 14,469.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,793.02 : 34,193.14 = 9,645.50 : x
  2. Step 2: Convert to fraction form
    22,793.02/34,193.14 = 9,645.50/x
  3. Step 3: Cross multiply
    22,793.02x = 34,193.14 × 9,645.50
  4. Step 4: Simplify right side
    22,793.02x = 329,809,931.87
  5. Step 5: Solve for x
    x = 329,809,931.87/22,793.02
  6. Step 6: Final answer
    x = 14,469.78

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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.