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Finding the Fourth Proportional to 19,761.84, 29,631.96 and 8,065.44

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Solution

The fourth proportional to 19,761.84, 29,631.96 and 8,065.44 is: 12,093.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,761.84 : 29,631.96 = 8,065.44 : x
  2. Step 2: Convert to fraction form
    19,761.84/29,631.96 = 8,065.44/x
  3. Step 3: Cross multiply
    19,761.84x = 29,631.96 × 8,065.44
  4. Step 4: Simplify right side
    19,761.84x = 238,994,795.46
  5. Step 5: Solve for x
    x = 238,994,795.46/19,761.84
  6. Step 6: Final answer
    x = 12,093.75

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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.