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Finding the Fourth Proportional to 22,487.68, 33,646.77 and 13,448.30

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Solution

The fourth proportional to 22,487.68, 33,646.77 and 13,448.30 is: 20,121.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,487.68 : 33,646.77 = 13,448.30 : x
  2. Step 2: Convert to fraction form
    22,487.68/33,646.77 = 13,448.30/x
  3. Step 3: Cross multiply
    22,487.68x = 33,646.77 × 13,448.30
  4. Step 4: Simplify right side
    22,487.68x = 452,491,934.83
  5. Step 5: Solve for x
    x = 452,491,934.83/22,487.68
  6. Step 6: Final answer
    x = 20,121.77

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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.