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Finding the Fourth Proportional to 26,289.11, 39,433.65 and 7,821.11

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Solution

The fourth proportional to 26,289.11, 39,433.65 and 7,821.11 is: 11,731.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,289.11 : 39,433.65 = 7,821.11 : x
  2. Step 2: Convert to fraction form
    26,289.11/39,433.65 = 7,821.11/x
  3. Step 3: Cross multiply
    26,289.11x = 39,433.65 × 7,821.11
  4. Step 4: Simplify right side
    26,289.11x = 308,414,717.18
  5. Step 5: Solve for x
    x = 308,414,717.18/26,289.11
  6. Step 6: Final answer
    x = 11,731.66

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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.