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Finding the Fourth Proportional to 19,204.14, 28,806.18 and 5,353.14

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Solution

The fourth proportional to 19,204.14, 28,806.18 and 5,353.14 is: 8,029.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,204.14 : 28,806.18 = 5,353.14 : x
  2. Step 2: Convert to fraction form
    19,204.14/28,806.18 = 5,353.14/x
  3. Step 3: Cross multiply
    19,204.14x = 28,806.18 × 5,353.14
  4. Step 4: Simplify right side
    19,204.14x = 154,203,487.64
  5. Step 5: Solve for x
    x = 154,203,487.64/19,204.14
  6. Step 6: Final answer
    x = 8,029.70

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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.