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Finding the Fourth Proportional to 19,297.20, 28,947.15 and 8,202.63

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Solution

The fourth proportional to 19,297.20, 28,947.15 and 8,202.63 is: 12,304.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,297.20 : 28,947.15 = 8,202.63 : x
  2. Step 2: Convert to fraction form
    19,297.20/28,947.15 = 8,202.63/x
  3. Step 3: Cross multiply
    19,297.20x = 28,947.15 × 8,202.63
  4. Step 4: Simplify right side
    19,297.20x = 237,442,761.00
  5. Step 5: Solve for x
    x = 237,442,761.00/19,297.20
  6. Step 6: Final answer
    x = 12,304.52

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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.