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Finding the Fourth Proportional to 21,201.32, 31,797.66 and 8,049.08

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Solution

The fourth proportional to 21,201.32, 31,797.66 and 8,049.08 is: 12,071.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,201.32 : 31,797.66 = 8,049.08 : x
  2. Step 2: Convert to fraction form
    21,201.32/31,797.66 = 8,049.08/x
  3. Step 3: Cross multiply
    21,201.32x = 31,797.66 × 8,049.08
  4. Step 4: Simplify right side
    21,201.32x = 255,941,909.15
  5. Step 5: Solve for x
    x = 255,941,909.15/21,201.32
  6. Step 6: Final answer
    x = 12,071.98

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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.