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Finding the Fourth Proportional to 20,233, 30,349.48 and 6,382

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Solution

The fourth proportional to 20,233, 30,349.48 and 6,382 is: 9,572.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,233 : 30,349.48 = 6,382 : x
  2. Step 2: Convert to fraction form
    20,233/30,349.48 = 6,382/x
  3. Step 3: Cross multiply
    20,233x = 30,349.48 × 6,382
  4. Step 4: Simplify right side
    20,233x = 193,690,381.36
  5. Step 5: Solve for x
    x = 193,690,381.36/20,233
  6. Step 6: Final answer
    x = 9,572.99

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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.