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Finding the Fourth Proportional to 19,222.31, 28,837.72 and 8,138.48

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Solution

The fourth proportional to 19,222.31, 28,837.72 and 8,138.48 is: 12,209.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,222.31 : 28,837.72 = 8,138.48 : x
  2. Step 2: Convert to fraction form
    19,222.31/28,837.72 = 8,138.48/x
  3. Step 3: Cross multiply
    19,222.31x = 28,837.72 × 8,138.48
  4. Step 4: Simplify right side
    19,222.31x = 234,695,073.45
  5. Step 5: Solve for x
    x = 234,695,073.45/19,222.31
  6. Step 6: Final answer
    x = 12,209.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.