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Finding the Fourth Proportional to 26,408.18, 39,613.71 and 6,686.90

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Solution

The fourth proportional to 26,408.18, 39,613.71 and 6,686.90 is: 10,030.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,408.18 : 39,613.71 = 6,686.90 : x
  2. Step 2: Convert to fraction form
    26,408.18/39,613.71 = 6,686.90/x
  3. Step 3: Cross multiply
    26,408.18x = 39,613.71 × 6,686.90
  4. Step 4: Simplify right side
    26,408.18x = 264,893,078.17
  5. Step 5: Solve for x
    x = 264,893,078.17/26,408.18
  6. Step 6: Final answer
    x = 10,030.72

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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.