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Finding the Fourth Proportional to 19,989.46, 29,963.38 and 8,138.16

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Solution

The fourth proportional to 19,989.46, 29,963.38 and 8,138.16 is: 12,198.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,989.46 : 29,963.38 = 8,138.16 : x
  2. Step 2: Convert to fraction form
    19,989.46/29,963.38 = 8,138.16/x
  3. Step 3: Cross multiply
    19,989.46x = 29,963.38 × 8,138.16
  4. Step 4: Simplify right side
    19,989.46x = 243,846,780.58
  5. Step 5: Solve for x
    x = 243,846,780.58/19,989.46
  6. Step 6: Final answer
    x = 12,198.77

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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.