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Finding the Fourth Proportional to 26,406.65, 39,608.05 and 9,758.92

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Solution

The fourth proportional to 26,406.65, 39,608.05 and 9,758.92 is: 14,637.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,406.65 : 39,608.05 = 9,758.92 : x
  2. Step 2: Convert to fraction form
    26,406.65/39,608.05 = 9,758.92/x
  3. Step 3: Cross multiply
    26,406.65x = 39,608.05 × 9,758.92
  4. Step 4: Simplify right side
    26,406.65x = 386,531,791.31
  5. Step 5: Solve for x
    x = 386,531,791.31/26,406.65
  6. Step 6: Final answer
    x = 14,637.67

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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.