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Finding the Fourth Proportional to 20,138, 30,110.88 and 18,373.46

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Solution

The fourth proportional to 20,138, 30,110.88 and 18,373.46 is: 27,472.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,138 : 30,110.88 = 18,373.46 : x
  2. Step 2: Convert to fraction form
    20,138/30,110.88 = 18,373.46/x
  3. Step 3: Cross multiply
    20,138x = 30,110.88 × 18,373.46
  4. Step 4: Simplify right side
    20,138x = 553,241,049.24
  5. Step 5: Solve for x
    x = 553,241,049.24/20,138
  6. Step 6: Final answer
    x = 27,472.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.