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Finding the Fourth Proportional to 20,141.70, 30,176.10 and 12,341.40

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Solution

The fourth proportional to 20,141.70, 30,176.10 and 12,341.40 is: 18,489.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,141.70 : 30,176.10 = 12,341.40 : x
  2. Step 2: Convert to fraction form
    20,141.70/30,176.10 = 12,341.40/x
  3. Step 3: Cross multiply
    20,141.70x = 30,176.10 × 12,341.40
  4. Step 4: Simplify right side
    20,141.70x = 372,415,320.54
  5. Step 5: Solve for x
    x = 372,415,320.54/20,141.70
  6. Step 6: Final answer
    x = 18,489.77

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