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Finding the Fourth Proportional to 22,881.42, 34,314.09 and 6,866.18

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Solution

The fourth proportional to 22,881.42, 34,314.09 and 6,866.18 is: 10,296.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,881.42 : 34,314.09 = 6,866.18 : x
  2. Step 2: Convert to fraction form
    22,881.42/34,314.09 = 6,866.18/x
  3. Step 3: Cross multiply
    22,881.42x = 34,314.09 × 6,866.18
  4. Step 4: Simplify right side
    22,881.42x = 235,606,649.84
  5. Step 5: Solve for x
    x = 235,606,649.84/22,881.42
  6. Step 6: Final answer
    x = 10,296.85

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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.