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Finding the Fourth Proportional to 27,017.97, 40,528.90 and 10,378

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Solution

The fourth proportional to 27,017.97, 40,528.90 and 10,378 is: 15,567.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,017.97 : 40,528.90 = 10,378 : x
  2. Step 2: Convert to fraction form
    27,017.97/40,528.90 = 10,378/x
  3. Step 3: Cross multiply
    27,017.97x = 40,528.90 × 10,378
  4. Step 4: Simplify right side
    27,017.97x = 420,608,924.20
  5. Step 5: Solve for x
    x = 420,608,924.20/27,017.97
  6. Step 6: Final answer
    x = 15,567.75

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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.