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Finding the Fourth Proportional to 21,216.58, 31,823.25 and 7,177.78

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Solution

The fourth proportional to 21,216.58, 31,823.25 and 7,177.78 is: 10,766.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,216.58 : 31,823.25 = 7,177.78 : x
  2. Step 2: Convert to fraction form
    21,216.58/31,823.25 = 7,177.78/x
  3. Step 3: Cross multiply
    21,216.58x = 31,823.25 × 7,177.78
  4. Step 4: Simplify right side
    21,216.58x = 228,420,287.39
  5. Step 5: Solve for x
    x = 228,420,287.39/21,216.58
  6. Step 6: Final answer
    x = 10,766.12

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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.