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Finding the Fourth Proportional to 26,016.62, 39,046.80 and 13,541

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Solution

The fourth proportional to 26,016.62, 39,046.80 and 13,541 is: 20,322.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,016.62 : 39,046.80 = 13,541 : x
  2. Step 2: Convert to fraction form
    26,016.62/39,046.80 = 13,541/x
  3. Step 3: Cross multiply
    26,016.62x = 39,046.80 × 13,541
  4. Step 4: Simplify right side
    26,016.62x = 528,732,718.80
  5. Step 5: Solve for x
    x = 528,732,718.80/26,016.62
  6. Step 6: Final answer
    x = 20,322.88

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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.