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Finding the Fourth Proportional to 27,016.97, 40,527.40 and 10,377

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Solution

The fourth proportional to 27,016.97, 40,527.40 and 10,377 is: 15,566.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,016.97 : 40,527.40 = 10,377 : x
  2. Step 2: Convert to fraction form
    27,016.97/40,527.40 = 10,377/x
  3. Step 3: Cross multiply
    27,016.97x = 40,527.40 × 10,377
  4. Step 4: Simplify right side
    27,016.97x = 420,552,829.80
  5. Step 5: Solve for x
    x = 420,552,829.80/27,016.97
  6. Step 6: Final answer
    x = 15,566.25

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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.