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Finding the Fourth Proportional to 20,858.64, 31,289.34 and 8,377.04

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Solution

The fourth proportional to 20,858.64, 31,289.34 and 8,377.04 is: 12,566.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,858.64 : 31,289.34 = 8,377.04 : x
  2. Step 2: Convert to fraction form
    20,858.64/31,289.34 = 8,377.04/x
  3. Step 3: Cross multiply
    20,858.64x = 31,289.34 × 8,377.04
  4. Step 4: Simplify right side
    20,858.64x = 262,112,052.75
  5. Step 5: Solve for x
    x = 262,112,052.75/20,858.64
  6. Step 6: Final answer
    x = 12,566.11

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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.