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Finding the Fourth Proportional to 22,531.50, 33,774.57 and 9,391.14

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Solution

The fourth proportional to 22,531.50, 33,774.57 and 9,391.14 is: 14,077.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,531.50 : 33,774.57 = 9,391.14 : x
  2. Step 2: Convert to fraction form
    22,531.50/33,774.57 = 9,391.14/x
  3. Step 3: Cross multiply
    22,531.50x = 33,774.57 × 9,391.14
  4. Step 4: Simplify right side
    22,531.50x = 317,181,715.31
  5. Step 5: Solve for x
    x = 317,181,715.31/22,531.50
  6. Step 6: Final answer
    x = 14,077.26

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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.