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Finding the Fourth Proportional to 26,570.68, 39,874.14 and 17,215

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Solution

The fourth proportional to 26,570.68, 39,874.14 and 17,215 is: 25,834.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,570.68 : 39,874.14 = 17,215 : x
  2. Step 2: Convert to fraction form
    26,570.68/39,874.14 = 17,215/x
  3. Step 3: Cross multiply
    26,570.68x = 39,874.14 × 17,215
  4. Step 4: Simplify right side
    26,570.68x = 686,433,320.10
  5. Step 5: Solve for x
    x = 686,433,320.10/26,570.68
  6. Step 6: Final answer
    x = 25,834.24

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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.