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Finding the Fourth Proportional to 24,294.68, 33,542.13 and 19,829.09

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Solution

The fourth proportional to 24,294.68, 33,542.13 and 19,829.09 is: 27,376.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,294.68 : 33,542.13 = 19,829.09 : x
  2. Step 2: Convert to fraction form
    24,294.68/33,542.13 = 19,829.09/x
  3. Step 3: Cross multiply
    24,294.68x = 33,542.13 × 19,829.09
  4. Step 4: Simplify right side
    24,294.68x = 665,109,746.85
  5. Step 5: Solve for x
    x = 665,109,746.85/24,294.68
  6. Step 6: Final answer
    x = 27,376.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.