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Finding the Fourth Proportional to 21,643.06, 32,461.34 and 6,850.06

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Solution

The fourth proportional to 21,643.06, 32,461.34 and 6,850.06 is: 10,274.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,643.06 : 32,461.34 = 6,850.06 : x
  2. Step 2: Convert to fraction form
    21,643.06/32,461.34 = 6,850.06/x
  3. Step 3: Cross multiply
    21,643.06x = 32,461.34 × 6,850.06
  4. Step 4: Simplify right side
    21,643.06x = 222,362,036.96
  5. Step 5: Solve for x
    x = 222,362,036.96/21,643.06
  6. Step 6: Final answer
    x = 10,274.06

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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.