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Finding the Fourth Proportional to 22,189.54, 30,625.52 and 13,114.53

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Solution

The fourth proportional to 22,189.54, 30,625.52 and 13,114.53 is: 18,100.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,189.54 : 30,625.52 = 13,114.53 : x
  2. Step 2: Convert to fraction form
    22,189.54/30,625.52 = 13,114.53/x
  3. Step 3: Cross multiply
    22,189.54x = 30,625.52 × 13,114.53
  4. Step 4: Simplify right side
    22,189.54x = 401,639,235.23
  5. Step 5: Solve for x
    x = 401,639,235.23/22,189.54
  6. Step 6: Final answer
    x = 18,100.39

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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.