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Finding the Fourth Proportional to 16,100.47, 24,158.45 and 8,309.28

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Solution

The fourth proportional to 16,100.47, 24,158.45 and 8,309.28 is: 12,467.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,100.47 : 24,158.45 = 8,309.28 : x
  2. Step 2: Convert to fraction form
    16,100.47/24,158.45 = 8,309.28/x
  3. Step 3: Cross multiply
    16,100.47x = 24,158.45 × 8,309.28
  4. Step 4: Simplify right side
    16,100.47x = 200,739,436.78
  5. Step 5: Solve for x
    x = 200,739,436.78/16,100.47
  6. Step 6: Final answer
    x = 12,467.92

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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.