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Finding the Fourth Proportional to 16,138.30, 24,216.05 and 6,277.90

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Solution

The fourth proportional to 16,138.30, 24,216.05 and 6,277.90 is: 9,420.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,138.30 : 24,216.05 = 6,277.90 : x
  2. Step 2: Convert to fraction form
    16,138.30/24,216.05 = 6,277.90/x
  3. Step 3: Cross multiply
    16,138.30x = 24,216.05 × 6,277.90
  4. Step 4: Simplify right side
    16,138.30x = 152,025,940.30
  5. Step 5: Solve for x
    x = 152,025,940.30/16,138.30
  6. Step 6: Final answer
    x = 9,420.20

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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.