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Finding the Fourth Proportional to 26,289, 39,431.25 and 9,648.36

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Solution

The fourth proportional to 26,289, 39,431.25 and 9,648.36 is: 14,471.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,289 : 39,431.25 = 9,648.36 : x
  2. Step 2: Convert to fraction form
    26,289/39,431.25 = 9,648.36/x
  3. Step 3: Cross multiply
    26,289x = 39,431.25 × 9,648.36
  4. Step 4: Simplify right side
    26,289x = 380,446,895.25
  5. Step 5: Solve for x
    x = 380,446,895.25/26,289
  6. Step 6: Final answer
    x = 14,471.71

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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.