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Finding the Fourth Proportional to 26,153.76, 39,230.49 and 7,433.82

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Solution

The fourth proportional to 26,153.76, 39,230.49 and 7,433.82 is: 11,150.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,153.76 : 39,230.49 = 7,433.82 : x
  2. Step 2: Convert to fraction form
    26,153.76/39,230.49 = 7,433.82/x
  3. Step 3: Cross multiply
    26,153.76x = 39,230.49 × 7,433.82
  4. Step 4: Simplify right side
    26,153.76x = 291,632,401.17
  5. Step 5: Solve for x
    x = 291,632,401.17/26,153.76
  6. Step 6: Final answer
    x = 11,150.69

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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.