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Finding the Fourth Proportional to 21,197.55, 31,800.82 and 8,049.63

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Solution

The fourth proportional to 21,197.55, 31,800.82 and 8,049.63 is: 12,076.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,197.55 : 31,800.82 = 8,049.63 : x
  2. Step 2: Convert to fraction form
    21,197.55/31,800.82 = 8,049.63/x
  3. Step 3: Cross multiply
    21,197.55x = 31,800.82 × 8,049.63
  4. Step 4: Simplify right side
    21,197.55x = 255,984,854.82
  5. Step 5: Solve for x
    x = 255,984,854.82/21,197.55
  6. Step 6: Final answer
    x = 12,076.15

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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.