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Finding the Fourth Proportional to 20,772.60, 31,148.82 and 9,676.68

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Solution

The fourth proportional to 20,772.60, 31,148.82 and 9,676.68 is: 14,510.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,772.60 : 31,148.82 = 9,676.68 : x
  2. Step 2: Convert to fraction form
    20,772.60/31,148.82 = 9,676.68/x
  3. Step 3: Cross multiply
    20,772.60x = 31,148.82 × 9,676.68
  4. Step 4: Simplify right side
    20,772.60x = 301,417,163.52
  5. Step 5: Solve for x
    x = 301,417,163.52/20,772.60
  6. Step 6: Final answer
    x = 14,510.32

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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.