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Finding the Fourth Proportional to 14,134.78, 21,205.67 and 9,982.93

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Solution

The fourth proportional to 14,134.78, 21,205.67 and 9,982.93 is: 14,976.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,134.78 : 21,205.67 = 9,982.93 : x
  2. Step 2: Convert to fraction form
    14,134.78/21,205.67 = 9,982.93/x
  3. Step 3: Cross multiply
    14,134.78x = 21,205.67 × 9,982.93
  4. Step 4: Simplify right side
    14,134.78x = 211,694,719.21
  5. Step 5: Solve for x
    x = 211,694,719.21/14,134.78
  6. Step 6: Final answer
    x = 14,976.87

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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.