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Finding the Fourth Proportional to 16,129.81, 24,204.06 and 6,769

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Solution

The fourth proportional to 16,129.81, 24,204.06 and 6,769 is: 10,157.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,129.81 : 24,204.06 = 6,769 : x
  2. Step 2: Convert to fraction form
    16,129.81/24,204.06 = 6,769/x
  3. Step 3: Cross multiply
    16,129.81x = 24,204.06 × 6,769
  4. Step 4: Simplify right side
    16,129.81x = 163,837,282.14
  5. Step 5: Solve for x
    x = 163,837,282.14/16,129.81
  6. Step 6: Final answer
    x = 10,157.42

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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.