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Finding the Fourth Proportional to 26,408.16, 39,610.29 and 9,760.42

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Solution

The fourth proportional to 26,408.16, 39,610.29 and 9,760.42 is: 14,639.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,408.16 : 39,610.29 = 9,760.42 : x
  2. Step 2: Convert to fraction form
    26,408.16/39,610.29 = 9,760.42/x
  3. Step 3: Cross multiply
    26,408.16x = 39,610.29 × 9,760.42
  4. Step 4: Simplify right side
    26,408.16x = 386,613,066.72
  5. Step 5: Solve for x
    x = 386,613,066.72/26,408.16
  6. Step 6: Final answer
    x = 14,639.91

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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.