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Finding the Fourth Proportional to 21,280.30, 31,922.64 and 8,143.72

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Solution

The fourth proportional to 21,280.30, 31,922.64 and 8,143.72 is: 12,216.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,280.30 : 31,922.64 = 8,143.72 : x
  2. Step 2: Convert to fraction form
    21,280.30/31,922.64 = 8,143.72/x
  3. Step 3: Cross multiply
    21,280.30x = 31,922.64 × 8,143.72
  4. Step 4: Simplify right side
    21,280.30x = 259,969,041.82
  5. Step 5: Solve for x
    x = 259,969,041.82/21,280.30
  6. Step 6: Final answer
    x = 12,216.42

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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.