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Finding the Fourth Proportional to 26,585.53, 39,878.45 and 6,862.74

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Solution

The fourth proportional to 26,585.53, 39,878.45 and 6,862.74 is: 10,294.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,585.53 : 39,878.45 = 6,862.74 : x
  2. Step 2: Convert to fraction form
    26,585.53/39,878.45 = 6,862.74/x
  3. Step 3: Cross multiply
    26,585.53x = 39,878.45 × 6,862.74
  4. Step 4: Simplify right side
    26,585.53x = 273,675,433.95
  5. Step 5: Solve for x
    x = 273,675,433.95/26,585.53
  6. Step 6: Final answer
    x = 10,294.15

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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.