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Finding the Fourth Proportional to 22,422, 30,945.33 and 14,487.30

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Solution

The fourth proportional to 22,422, 30,945.33 and 14,487.30 is: 19,994.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,422 : 30,945.33 = 14,487.30 : x
  2. Step 2: Convert to fraction form
    22,422/30,945.33 = 14,487.30/x
  3. Step 3: Cross multiply
    22,422x = 30,945.33 × 14,487.30
  4. Step 4: Simplify right side
    22,422x = 448,314,279.31
  5. Step 5: Solve for x
    x = 448,314,279.31/22,422
  6. Step 6: Final answer
    x = 19,994.39

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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.