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Finding the Fourth Proportional to 16,340.96, 24,512.16 and 5,246.80

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Solution

The fourth proportional to 16,340.96, 24,512.16 and 5,246.80 is: 7,870.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,340.96 : 24,512.16 = 5,246.80 : x
  2. Step 2: Convert to fraction form
    16,340.96/24,512.16 = 5,246.80/x
  3. Step 3: Cross multiply
    16,340.96x = 24,512.16 × 5,246.80
  4. Step 4: Simplify right side
    16,340.96x = 128,610,401.09
  5. Step 5: Solve for x
    x = 128,610,401.09/16,340.96
  6. Step 6: Final answer
    x = 7,870.43

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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.