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Finding the Fourth Proportional to 26,433.84, 39,646.90 and 7,708.85

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Solution

The fourth proportional to 26,433.84, 39,646.90 and 7,708.85 is: 11,562.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,433.84 : 39,646.90 = 7,708.85 : x
  2. Step 2: Convert to fraction form
    26,433.84/39,646.90 = 7,708.85/x
  3. Step 3: Cross multiply
    26,433.84x = 39,646.90 × 7,708.85
  4. Step 4: Simplify right side
    26,433.84x = 305,632,005.07
  5. Step 5: Solve for x
    x = 305,632,005.07/26,433.84
  6. Step 6: Final answer
    x = 11,562.15

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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.