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Finding the Fourth Proportional to 21,178.19, 31,755.12 and 8,022.17

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Solution

The fourth proportional to 21,178.19, 31,755.12 and 8,022.17 is: 12,028.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,178.19 : 31,755.12 = 8,022.17 : x
  2. Step 2: Convert to fraction form
    21,178.19/31,755.12 = 8,022.17/x
  3. Step 3: Cross multiply
    21,178.19x = 31,755.12 × 8,022.17
  4. Step 4: Simplify right side
    21,178.19x = 254,744,971.01
  5. Step 5: Solve for x
    x = 254,744,971.01/21,178.19
  6. Step 6: Final answer
    x = 12,028.65

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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.