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Finding the Fourth Proportional to 21,143.20, 31,705.20 and 7,991.20

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Solution

The fourth proportional to 21,143.20, 31,705.20 and 7,991.20 is: 11,983.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,143.20 : 31,705.20 = 7,991.20 : x
  2. Step 2: Convert to fraction form
    21,143.20/31,705.20 = 7,991.20/x
  3. Step 3: Cross multiply
    21,143.20x = 31,705.20 × 7,991.20
  4. Step 4: Simplify right side
    21,143.20x = 253,362,594.24
  5. Step 5: Solve for x
    x = 253,362,594.24/21,143.20
  6. Step 6: Final answer
    x = 11,983.17

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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.