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Finding the Fourth Proportional to 14,755.80, 22,122.76 and 5,990

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Solution

The fourth proportional to 14,755.80, 22,122.76 and 5,990 is: 8,980.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,755.80 : 22,122.76 = 5,990 : x
  2. Step 2: Convert to fraction form
    14,755.80/22,122.76 = 5,990/x
  3. Step 3: Cross multiply
    14,755.80x = 22,122.76 × 5,990
  4. Step 4: Simplify right side
    14,755.80x = 132,515,332.40
  5. Step 5: Solve for x
    x = 132,515,332.40/14,755.80
  6. Step 6: Final answer
    x = 8,980.56

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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.