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Finding the Fourth Proportional to 20,863.98, 31,283.21 and 9,774.07

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Solution

The fourth proportional to 20,863.98, 31,283.21 and 9,774.07 is: 14,655.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,863.98 : 31,283.21 = 9,774.07 : x
  2. Step 2: Convert to fraction form
    20,863.98/31,283.21 = 9,774.07/x
  3. Step 3: Cross multiply
    20,863.98x = 31,283.21 × 9,774.07
  4. Step 4: Simplify right side
    20,863.98x = 305,764,230.59
  5. Step 5: Solve for x
    x = 305,764,230.59/20,863.98
  6. Step 6: Final answer
    x = 14,655.12

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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.