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Finding the Fourth Proportional to 16,753.71, 23,119.23 and 9,948

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Solution

The fourth proportional to 16,753.71, 23,119.23 and 9,948 is: 13,727.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,753.71 : 23,119.23 = 9,948 : x
  2. Step 2: Convert to fraction form
    16,753.71/23,119.23 = 9,948/x
  3. Step 3: Cross multiply
    16,753.71x = 23,119.23 × 9,948
  4. Step 4: Simplify right side
    16,753.71x = 229,990,100.04
  5. Step 5: Solve for x
    x = 229,990,100.04/16,753.71
  6. Step 6: Final answer
    x = 13,727.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.