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Finding the Fourth Proportional to 20,866.02, 31,298.22 and 8,382.30

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Solution

The fourth proportional to 20,866.02, 31,298.22 and 8,382.30 is: 12,573.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,866.02 : 31,298.22 = 8,382.30 : x
  2. Step 2: Convert to fraction form
    20,866.02/31,298.22 = 8,382.30/x
  3. Step 3: Cross multiply
    20,866.02x = 31,298.22 × 8,382.30
  4. Step 4: Simplify right side
    20,866.02x = 262,351,069.51
  5. Step 5: Solve for x
    x = 262,351,069.51/20,866.02
  6. Step 6: Final answer
    x = 12,573.12

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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.