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Finding the Fourth Proportional to 20,516.98, 30,787.44 and 8,036.50

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Solution

The fourth proportional to 20,516.98, 30,787.44 and 8,036.50 is: 12,059.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,516.98 : 30,787.44 = 8,036.50 : x
  2. Step 2: Convert to fraction form
    20,516.98/30,787.44 = 8,036.50/x
  3. Step 3: Cross multiply
    20,516.98x = 30,787.44 × 8,036.50
  4. Step 4: Simplify right side
    20,516.98x = 247,423,261.56
  5. Step 5: Solve for x
    x = 247,423,261.56/20,516.98
  6. Step 6: Final answer
    x = 12,059.44

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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.