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Finding the Fourth Proportional to 20,720.52, 31,063.86 and 9,634.14

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Solution

The fourth proportional to 20,720.52, 31,063.86 and 9,634.14 is: 14,443.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,720.52 : 31,063.86 = 9,634.14 : x
  2. Step 2: Convert to fraction form
    20,720.52/31,063.86 = 9,634.14/x
  3. Step 3: Cross multiply
    20,720.52x = 31,063.86 × 9,634.14
  4. Step 4: Simplify right side
    20,720.52x = 299,273,576.18
  5. Step 5: Solve for x
    x = 299,273,576.18/20,720.52
  6. Step 6: Final answer
    x = 14,443.34

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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.