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Finding the Fourth Proportional to 16,231.30, 24,349.95 and 5,140.78

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Solution

The fourth proportional to 16,231.30, 24,349.95 and 5,140.78 is: 7,712.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,231.30 : 24,349.95 = 5,140.78 : x
  2. Step 2: Convert to fraction form
    16,231.30/24,349.95 = 5,140.78/x
  3. Step 3: Cross multiply
    16,231.30x = 24,349.95 × 5,140.78
  4. Step 4: Simplify right side
    16,231.30x = 125,177,675.09
  5. Step 5: Solve for x
    x = 125,177,675.09/16,231.30
  6. Step 6: Final answer
    x = 7,712.12

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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.