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Finding the Fourth Proportional to 21,906.32, 30,230.92 and 12,344.38

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Solution

The fourth proportional to 21,906.32, 30,230.92 and 12,344.38 is: 17,035.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,906.32 : 30,230.92 = 12,344.38 : x
  2. Step 2: Convert to fraction form
    21,906.32/30,230.92 = 12,344.38/x
  3. Step 3: Cross multiply
    21,906.32x = 30,230.92 × 12,344.38
  4. Step 4: Simplify right side
    21,906.32x = 373,181,875.65
  5. Step 5: Solve for x
    x = 373,181,875.65/21,906.32
  6. Step 6: Final answer
    x = 17,035.35

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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.