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Finding the Fourth Proportional to 22,760.52, 34,140.44 and 13,878.47

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Solution

The fourth proportional to 22,760.52, 34,140.44 and 13,878.47 is: 20,817.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,760.52 : 34,140.44 = 13,878.47 : x
  2. Step 2: Convert to fraction form
    22,760.52/34,140.44 = 13,878.47/x
  3. Step 3: Cross multiply
    22,760.52x = 34,140.44 × 13,878.47
  4. Step 4: Simplify right side
    22,760.52x = 473,816,832.23
  5. Step 5: Solve for x
    x = 473,816,832.23/22,760.52
  6. Step 6: Final answer
    x = 20,817.49

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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.