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Finding the Fourth Proportional to 22,797.60, 34,191.60 and 9,650.40

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Solution

The fourth proportional to 22,797.60, 34,191.60 and 9,650.40 is: 14,473.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,797.60 : 34,191.60 = 9,650.40 : x
  2. Step 2: Convert to fraction form
    22,797.60/34,191.60 = 9,650.40/x
  3. Step 3: Cross multiply
    22,797.60x = 34,191.60 × 9,650.40
  4. Step 4: Simplify right side
    22,797.60x = 329,962,616.64
  5. Step 5: Solve for x
    x = 329,962,616.64/22,797.60
  6. Step 6: Final answer
    x = 14,473.57

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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.