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Finding the Fourth Proportional to 22,151.04, 33,197.84 and 8,988

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Solution

The fourth proportional to 22,151.04, 33,197.84 and 8,988 is: 13,470.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,151.04 : 33,197.84 = 8,988 : x
  2. Step 2: Convert to fraction form
    22,151.04/33,197.84 = 8,988/x
  3. Step 3: Cross multiply
    22,151.04x = 33,197.84 × 8,988
  4. Step 4: Simplify right side
    22,151.04x = 298,382,185.92
  5. Step 5: Solve for x
    x = 298,382,185.92/22,151.04
  6. Step 6: Final answer
    x = 13,470.35

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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.