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Finding the Fourth Proportional to 21,670.56, 32,505.78 and 8,164.23

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Solution

The fourth proportional to 21,670.56, 32,505.78 and 8,164.23 is: 12,246.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,670.56 : 32,505.78 = 8,164.23 : x
  2. Step 2: Convert to fraction form
    21,670.56/32,505.78 = 8,164.23/x
  3. Step 3: Cross multiply
    21,670.56x = 32,505.78 × 8,164.23
  4. Step 4: Simplify right side
    21,670.56x = 265,384,664.25
  5. Step 5: Solve for x
    x = 265,384,664.25/21,670.56
  6. Step 6: Final answer
    x = 12,246.32

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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.