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Finding the Fourth Proportional to 22,716.38, 34,074.87 and 7,134

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Solution

The fourth proportional to 22,716.38, 34,074.87 and 7,134 is: 10,701.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,716.38 : 34,074.87 = 7,134 : x
  2. Step 2: Convert to fraction form
    22,716.38/34,074.87 = 7,134/x
  3. Step 3: Cross multiply
    22,716.38x = 34,074.87 × 7,134
  4. Step 4: Simplify right side
    22,716.38x = 243,090,122.58
  5. Step 5: Solve for x
    x = 243,090,122.58/22,716.38
  6. Step 6: Final answer
    x = 10,701.10

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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.