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Finding the Fourth Proportional to 22,424.12, 30,945.54 and 12,352.35

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Solution

The fourth proportional to 22,424.12, 30,945.54 and 12,352.35 is: 17,046.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,424.12 : 30,945.54 = 12,352.35 : x
  2. Step 2: Convert to fraction form
    22,424.12/30,945.54 = 12,352.35/x
  3. Step 3: Cross multiply
    22,424.12x = 30,945.54 × 12,352.35
  4. Step 4: Simplify right side
    22,424.12x = 382,250,129.32
  5. Step 5: Solve for x
    x = 382,250,129.32/22,424.12
  6. Step 6: Final answer
    x = 17,046.38

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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.