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Finding the Fourth Proportional to 23,653.78, 35,484.30 and 8,067.76

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Solution

The fourth proportional to 23,653.78, 35,484.30 and 8,067.76 is: 12,102.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,653.78 : 35,484.30 = 8,067.76 : x
  2. Step 2: Convert to fraction form
    23,653.78/35,484.30 = 8,067.76/x
  3. Step 3: Cross multiply
    23,653.78x = 35,484.30 × 8,067.76
  4. Step 4: Simplify right side
    23,653.78x = 286,278,816.17
  5. Step 5: Solve for x
    x = 286,278,816.17/23,653.78
  6. Step 6: Final answer
    x = 12,102.88

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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.