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Finding the Fourth Proportional to 22,137.20, 30,535.36 and 13,178

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Solution

The fourth proportional to 22,137.20, 30,535.36 and 13,178 is: 18,177.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,137.20 : 30,535.36 = 13,178 : x
  2. Step 2: Convert to fraction form
    22,137.20/30,535.36 = 13,178/x
  3. Step 3: Cross multiply
    22,137.20x = 30,535.36 × 13,178
  4. Step 4: Simplify right side
    22,137.20x = 402,394,974.08
  5. Step 5: Solve for x
    x = 402,394,974.08/22,137.20
  6. Step 6: Final answer
    x = 18,177.32

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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.