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Finding the Fourth Proportional to 22,451, 33,681.36 and 8,600

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Solution

The fourth proportional to 22,451, 33,681.36 and 8,600 is: 12,901.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,451 : 33,681.36 = 8,600 : x
  2. Step 2: Convert to fraction form
    22,451/33,681.36 = 8,600/x
  3. Step 3: Cross multiply
    22,451x = 33,681.36 × 8,600
  4. Step 4: Simplify right side
    22,451x = 289,659,696
  5. Step 5: Solve for x
    x = 289,659,696/22,451
  6. Step 6: Final answer
    x = 12,901.86

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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.