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Finding the Fourth Proportional to 21,857.72, 32,766.90 and 8,003.48

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Solution

The fourth proportional to 21,857.72, 32,766.90 and 8,003.48 is: 11,998.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,857.72 : 32,766.90 = 8,003.48 : x
  2. Step 2: Convert to fraction form
    21,857.72/32,766.90 = 8,003.48/x
  3. Step 3: Cross multiply
    21,857.72x = 32,766.90 × 8,003.48
  4. Step 4: Simplify right side
    21,857.72x = 262,249,228.81
  5. Step 5: Solve for x
    x = 262,249,228.81/21,857.72
  6. Step 6: Final answer
    x = 11,998.01

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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.