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Finding the Fourth Proportional to 20,199.87, 30,300.84 and 6,158.79

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Solution

The fourth proportional to 20,199.87, 30,300.84 and 6,158.79 is: 9,238.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,199.87 : 30,300.84 = 6,158.79 : x
  2. Step 2: Convert to fraction form
    20,199.87/30,300.84 = 6,158.79/x
  3. Step 3: Cross multiply
    20,199.87x = 30,300.84 × 6,158.79
  4. Step 4: Simplify right side
    20,199.87x = 186,616,510.38
  5. Step 5: Solve for x
    x = 186,616,510.38/20,199.87
  6. Step 6: Final answer
    x = 9,238.50

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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.