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Finding the Fourth Proportional to 21,378.56, 32,060.16 and 8,224.32

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Solution

The fourth proportional to 21,378.56, 32,060.16 and 8,224.32 is: 12,333.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,378.56 : 32,060.16 = 8,224.32 : x
  2. Step 2: Convert to fraction form
    21,378.56/32,060.16 = 8,224.32/x
  3. Step 3: Cross multiply
    21,378.56x = 32,060.16 × 8,224.32
  4. Step 4: Simplify right side
    21,378.56x = 263,673,015.09
  5. Step 5: Solve for x
    x = 263,673,015.09/21,378.56
  6. Step 6: Final answer
    x = 12,333.53

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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.