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Finding the Fourth Proportional to 22,777.50, 34,169.88 and 9,630

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Solution

The fourth proportional to 22,777.50, 34,169.88 and 9,630 is: 14,446.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,777.50 : 34,169.88 = 9,630 : x
  2. Step 2: Convert to fraction form
    22,777.50/34,169.88 = 9,630/x
  3. Step 3: Cross multiply
    22,777.50x = 34,169.88 × 9,630
  4. Step 4: Simplify right side
    22,777.50x = 329,055,944.40
  5. Step 5: Solve for x
    x = 329,055,944.40/22,777.50
  6. Step 6: Final answer
    x = 14,446.53

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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.