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Finding the Fourth Proportional to 19,253.50, 28,891.77 and 8,309.50

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Solution

The fourth proportional to 19,253.50, 28,891.77 and 8,309.50 is: 12,469.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,253.50 : 28,891.77 = 8,309.50 : x
  2. Step 2: Convert to fraction form
    19,253.50/28,891.77 = 8,309.50/x
  3. Step 3: Cross multiply
    19,253.50x = 28,891.77 × 8,309.50
  4. Step 4: Simplify right side
    19,253.50x = 240,076,162.82
  5. Step 5: Solve for x
    x = 240,076,162.82/19,253.50
  6. Step 6: Final answer
    x = 12,469.22

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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.