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Finding the Fourth Proportional to 22,884.60, 34,332.38 and 9,550.17

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Solution

The fourth proportional to 22,884.60, 34,332.38 and 9,550.17 is: 14,327.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,884.60 : 34,332.38 = 9,550.17 : x
  2. Step 2: Convert to fraction form
    22,884.60/34,332.38 = 9,550.17/x
  3. Step 3: Cross multiply
    22,884.60x = 34,332.38 × 9,550.17
  4. Step 4: Simplify right side
    22,884.60x = 327,880,065.50
  5. Step 5: Solve for x
    x = 327,880,065.50/22,884.60
  6. Step 6: Final answer
    x = 14,327.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.