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Finding the Fourth Proportional to 16,178.23, 24,273.18 and 5,649.80

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Solution

The fourth proportional to 16,178.23, 24,273.18 and 5,649.80 is: 8,476.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,178.23 : 24,273.18 = 5,649.80 : x
  2. Step 2: Convert to fraction form
    16,178.23/24,273.18 = 5,649.80/x
  3. Step 3: Cross multiply
    16,178.23x = 24,273.18 × 5,649.80
  4. Step 4: Simplify right side
    16,178.23x = 137,138,612.36
  5. Step 5: Solve for x
    x = 137,138,612.36/16,178.23
  6. Step 6: Final answer
    x = 8,476.74

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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.