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Finding the Fourth Proportional to 22,646.49, 33,951.86 and 14,308.90

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Solution

The fourth proportional to 22,646.49, 33,951.86 and 14,308.90 is: 21,452.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,646.49 : 33,951.86 = 14,308.90 : x
  2. Step 2: Convert to fraction form
    22,646.49/33,951.86 = 14,308.90/x
  3. Step 3: Cross multiply
    22,646.49x = 33,951.86 × 14,308.90
  4. Step 4: Simplify right side
    22,646.49x = 485,813,857.77
  5. Step 5: Solve for x
    x = 485,813,857.77/22,646.49
  6. Step 6: Final answer
    x = 21,452.06

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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.