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Finding the Fourth Proportional to 19,197.50, 28,797.90 and 5,346.50

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Solution

The fourth proportional to 19,197.50, 28,797.90 and 5,346.50 is: 8,020.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,197.50 : 28,797.90 = 5,346.50 : x
  2. Step 2: Convert to fraction form
    19,197.50/28,797.90 = 5,346.50/x
  3. Step 3: Cross multiply
    19,197.50x = 28,797.90 × 5,346.50
  4. Step 4: Simplify right side
    19,197.50x = 153,967,972.35
  5. Step 5: Solve for x
    x = 153,967,972.35/19,197.50
  6. Step 6: Final answer
    x = 8,020.21

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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.