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Finding the Fourth Proportional to 22,468.14, 33,702.21 and 7,677.19

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Solution

The fourth proportional to 22,468.14, 33,702.21 and 7,677.19 is: 11,515.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,468.14 : 33,702.21 = 7,677.19 : x
  2. Step 2: Convert to fraction form
    22,468.14/33,702.21 = 7,677.19/x
  3. Step 3: Cross multiply
    22,468.14x = 33,702.21 × 7,677.19
  4. Step 4: Simplify right side
    22,468.14x = 258,738,269.59
  5. Step 5: Solve for x
    x = 258,738,269.59/22,468.14
  6. Step 6: Final answer
    x = 11,515.79

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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.