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Finding the Fourth Proportional to 12,891.50, 19,337.36 and 5,100.30

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Solution

The fourth proportional to 12,891.50, 19,337.36 and 5,100.30 is: 7,650.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,891.50 : 19,337.36 = 5,100.30 : x
  2. Step 2: Convert to fraction form
    12,891.50/19,337.36 = 5,100.30/x
  3. Step 3: Cross multiply
    12,891.50x = 19,337.36 × 5,100.30
  4. Step 4: Simplify right side
    12,891.50x = 98,626,337.21
  5. Step 5: Solve for x
    x = 98,626,337.21/12,891.50
  6. Step 6: Final answer
    x = 7,650.49

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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.