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Finding the Fourth Proportional to 21,541.35, 32,298.80 and 8,378.38

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Solution

The fourth proportional to 21,541.35, 32,298.80 and 8,378.38 is: 12,562.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,541.35 : 32,298.80 = 8,378.38 : x
  2. Step 2: Convert to fraction form
    21,541.35/32,298.80 = 8,378.38/x
  3. Step 3: Cross multiply
    21,541.35x = 32,298.80 × 8,378.38
  4. Step 4: Simplify right side
    21,541.35x = 270,611,497.31
  5. Step 5: Solve for x
    x = 270,611,497.31/21,541.35
  6. Step 6: Final answer
    x = 12,562.42

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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.