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Finding the Fourth Proportional to 16,422.65, 22,663.38 and 9,349.52

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Solution

The fourth proportional to 16,422.65, 22,663.38 and 9,349.52 is: 12,902.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,422.65 : 22,663.38 = 9,349.52 : x
  2. Step 2: Convert to fraction form
    16,422.65/22,663.38 = 9,349.52/x
  3. Step 3: Cross multiply
    16,422.65x = 22,663.38 × 9,349.52
  4. Step 4: Simplify right side
    16,422.65x = 211,891,724.58
  5. Step 5: Solve for x
    x = 211,891,724.58/16,422.65
  6. Step 6: Final answer
    x = 12,902.41

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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.