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Finding the Fourth Proportional to 21,356.64, 32,024.49 and 12,474.20

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Solution

The fourth proportional to 21,356.64, 32,024.49 and 12,474.20 is: 18,705.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,356.64 : 32,024.49 = 12,474.20 : x
  2. Step 2: Convert to fraction form
    21,356.64/32,024.49 = 12,474.20/x
  3. Step 3: Cross multiply
    21,356.64x = 32,024.49 × 12,474.20
  4. Step 4: Simplify right side
    21,356.64x = 399,479,926.44
  5. Step 5: Solve for x
    x = 399,479,926.44/21,356.64
  6. Step 6: Final answer
    x = 18,705.19

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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.