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Finding the Fourth Proportional to 21,538.72, 32,322.90 and 8,391.16

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Solution

The fourth proportional to 21,538.72, 32,322.90 and 8,391.16 is: 12,592.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,538.72 : 32,322.90 = 8,391.16 : x
  2. Step 2: Convert to fraction form
    21,538.72/32,322.90 = 8,391.16/x
  3. Step 3: Cross multiply
    21,538.72x = 32,322.90 × 8,391.16
  4. Step 4: Simplify right side
    21,538.72x = 271,226,625.56
  5. Step 5: Solve for x
    x = 271,226,625.56/21,538.72
  6. Step 6: Final answer
    x = 12,592.51

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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.