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Finding the Fourth Proportional to 20,170.50, 30,191.04 and 10,787.06

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Solution

The fourth proportional to 20,170.50, 30,191.04 and 10,787.06 is: 16,145.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,170.50 : 30,191.04 = 10,787.06 : x
  2. Step 2: Convert to fraction form
    20,170.50/30,191.04 = 10,787.06/x
  3. Step 3: Cross multiply
    20,170.50x = 30,191.04 × 10,787.06
  4. Step 4: Simplify right side
    20,170.50x = 325,672,559.94
  5. Step 5: Solve for x
    x = 325,672,559.94/20,170.50
  6. Step 6: Final answer
    x = 16,145.98

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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.