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Finding the Fourth Proportional to 16,502.42, 24,736.28 and 5,406.23

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Solution

The fourth proportional to 16,502.42, 24,736.28 and 5,406.23 is: 8,103.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,502.42 : 24,736.28 = 5,406.23 : x
  2. Step 2: Convert to fraction form
    16,502.42/24,736.28 = 5,406.23/x
  3. Step 3: Cross multiply
    16,502.42x = 24,736.28 × 5,406.23
  4. Step 4: Simplify right side
    16,502.42x = 133,729,868.31
  5. Step 5: Solve for x
    x = 133,729,868.31/16,502.42
  6. Step 6: Final answer
    x = 8,103.65

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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.