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Finding the Fourth Proportional to 16,138.58, 24,201.78 and 6,276.62

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Solution

The fourth proportional to 16,138.58, 24,201.78 and 6,276.62 is: 9,412.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,138.58 : 24,201.78 = 6,276.62 : x
  2. Step 2: Convert to fraction form
    16,138.58/24,201.78 = 6,276.62/x
  3. Step 3: Cross multiply
    16,138.58x = 24,201.78 × 6,276.62
  4. Step 4: Simplify right side
    16,138.58x = 151,905,376.38
  5. Step 5: Solve for x
    x = 151,905,376.38/16,138.58
  6. Step 6: Final answer
    x = 9,412.56

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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.