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Finding the Fourth Proportional to 16,255, 24,382.51 and 3,943

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Solution

The fourth proportional to 16,255, 24,382.51 and 3,943 is: 5,914.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,255 : 24,382.51 = 3,943 : x
  2. Step 2: Convert to fraction form
    16,255/24,382.51 = 3,943/x
  3. Step 3: Cross multiply
    16,255x = 24,382.51 × 3,943
  4. Step 4: Simplify right side
    16,255x = 96,140,236.93
  5. Step 5: Solve for x
    x = 96,140,236.93/16,255
  6. Step 6: Final answer
    x = 5,914.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.