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Finding the Fourth Proportional to 26,178.16, 36,147.66 and 24,278.68

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Solution

The fourth proportional to 26,178.16, 36,147.66 and 24,278.68 is: 33,524.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,178.16 : 36,147.66 = 24,278.68 : x
  2. Step 2: Convert to fraction form
    26,178.16/36,147.66 = 24,278.68/x
  3. Step 3: Cross multiply
    26,178.16x = 36,147.66 × 24,278.68
  4. Step 4: Simplify right side
    26,178.16x = 877,617,469.89
  5. Step 5: Solve for x
    x = 877,617,469.89/26,178.16
  6. Step 6: Final answer
    x = 33,524.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.