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Finding the Fourth Proportional to 26,400.78, 36,433.72 and 14,464.12

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Solution

The fourth proportional to 26,400.78, 36,433.72 and 14,464.12 is: 19,960.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,400.78 : 36,433.72 = 14,464.12 : x
  2. Step 2: Convert to fraction form
    26,400.78/36,433.72 = 14,464.12/x
  3. Step 3: Cross multiply
    26,400.78x = 36,433.72 × 14,464.12
  4. Step 4: Simplify right side
    26,400.78x = 526,981,698.13
  5. Step 5: Solve for x
    x = 526,981,698.13/26,400.78
  6. Step 6: Final answer
    x = 19,960.84

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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.