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Finding the Fourth Proportional to 20,957.66, 31,433.64 and 8,307.22

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Solution

The fourth proportional to 20,957.66, 31,433.64 and 8,307.22 is: 12,459.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,957.66 : 31,433.64 = 8,307.22 : x
  2. Step 2: Convert to fraction form
    20,957.66/31,433.64 = 8,307.22/x
  3. Step 3: Cross multiply
    20,957.66x = 31,433.64 × 8,307.22
  4. Step 4: Simplify right side
    20,957.66x = 261,126,162.88
  5. Step 5: Solve for x
    x = 261,126,162.88/20,957.66
  6. Step 6: Final answer
    x = 12,459.70

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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.