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Finding the Fourth Proportional to 21,724.62, 29,971.98 and 13,223.22

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Solution

The fourth proportional to 21,724.62, 29,971.98 and 13,223.22 is: 18,243.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,724.62 : 29,971.98 = 13,223.22 : x
  2. Step 2: Convert to fraction form
    21,724.62/29,971.98 = 13,223.22/x
  3. Step 3: Cross multiply
    21,724.62x = 29,971.98 × 13,223.22
  4. Step 4: Simplify right side
    21,724.62x = 396,326,085.38
  5. Step 5: Solve for x
    x = 396,326,085.38/21,724.62
  6. Step 6: Final answer
    x = 18,243.18

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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.