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Finding the Fourth Proportional to 16,822, 25,233 and 9,330.12

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Solution

The fourth proportional to 16,822, 25,233 and 9,330.12 is: 13,995.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,822 : 25,233 = 9,330.12 : x
  2. Step 2: Convert to fraction form
    16,822/25,233 = 9,330.12/x
  3. Step 3: Cross multiply
    16,822x = 25,233 × 9,330.12
  4. Step 4: Simplify right side
    16,822x = 235,426,917.96
  5. Step 5: Solve for x
    x = 235,426,917.96/16,822
  6. Step 6: Final answer
    x = 13,995.18

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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.