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Finding the Fourth Proportional to 26,419.15, 39,633.92 and 9,779.33

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Solution

The fourth proportional to 26,419.15, 39,633.92 and 9,779.33 is: 14,670.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,419.15 : 39,633.92 = 9,779.33 : x
  2. Step 2: Convert to fraction form
    26,419.15/39,633.92 = 9,779.33/x
  3. Step 3: Cross multiply
    26,419.15x = 39,633.92 × 9,779.33
  4. Step 4: Simplify right side
    26,419.15x = 387,593,182.87
  5. Step 5: Solve for x
    x = 387,593,182.87/26,419.15
  6. Step 6: Final answer
    x = 14,670.92

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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.