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Finding the Fourth Proportional to 22,159.73, 30,580.70 and 13,212.38

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Solution

The fourth proportional to 22,159.73, 30,580.70 and 13,212.38 is: 18,233.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,159.73 : 30,580.70 = 13,212.38 : x
  2. Step 2: Convert to fraction form
    22,159.73/30,580.70 = 13,212.38/x
  3. Step 3: Cross multiply
    22,159.73x = 30,580.70 × 13,212.38
  4. Step 4: Simplify right side
    22,159.73x = 404,043,839.46
  5. Step 5: Solve for x
    x = 404,043,839.46/22,159.73
  6. Step 6: Final answer
    x = 18,233.25

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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.