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Finding the Fourth Proportional to 21,294.28, 31,954.38 and 8,147.98

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Solution

The fourth proportional to 21,294.28, 31,954.38 and 8,147.98 is: 12,226.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,294.28 : 31,954.38 = 8,147.98 : x
  2. Step 2: Convert to fraction form
    21,294.28/31,954.38 = 8,147.98/x
  3. Step 3: Cross multiply
    21,294.28x = 31,954.38 × 8,147.98
  4. Step 4: Simplify right side
    21,294.28x = 260,363,649.15
  5. Step 5: Solve for x
    x = 260,363,649.15/21,294.28
  6. Step 6: Final answer
    x = 12,226.93

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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.