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Finding the Fourth Proportional to 19,115.50, 28,663.98 and 8,019.22

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Solution

The fourth proportional to 19,115.50, 28,663.98 and 8,019.22 is: 12,024.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,115.50 : 28,663.98 = 8,019.22 : x
  2. Step 2: Convert to fraction form
    19,115.50/28,663.98 = 8,019.22/x
  3. Step 3: Cross multiply
    19,115.50x = 28,663.98 × 8,019.22
  4. Step 4: Simplify right side
    19,115.50x = 229,862,761.70
  5. Step 5: Solve for x
    x = 229,862,761.70/19,115.50
  6. Step 6: Final answer
    x = 12,024.94

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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.