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Finding the Fourth Proportional to 22,516.80, 33,774.36 and 6,934

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Solution

The fourth proportional to 22,516.80, 33,774.36 and 6,934 is: 10,400.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,516.80 : 33,774.36 = 6,934 : x
  2. Step 2: Convert to fraction form
    22,516.80/33,774.36 = 6,934/x
  3. Step 3: Cross multiply
    22,516.80x = 33,774.36 × 6,934
  4. Step 4: Simplify right side
    22,516.80x = 234,191,412.24
  5. Step 5: Solve for x
    x = 234,191,412.24/22,516.80
  6. Step 6: Final answer
    x = 10,400.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.