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Finding the Fourth Proportional to 16,129.96, 24,204.36 and 6,769.20

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Solution

The fourth proportional to 16,129.96, 24,204.36 and 6,769.20 is: 10,157.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,129.96 : 24,204.36 = 6,769.20 : x
  2. Step 2: Convert to fraction form
    16,129.96/24,204.36 = 6,769.20/x
  3. Step 3: Cross multiply
    16,129.96x = 24,204.36 × 6,769.20
  4. Step 4: Simplify right side
    16,129.96x = 163,844,153.71
  5. Step 5: Solve for x
    x = 163,844,153.71/16,129.96
  6. Step 6: Final answer
    x = 10,157.75

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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.