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Finding the Fourth Proportional to 21,537.72, 32,321.40 and 8,390.16

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Solution

The fourth proportional to 21,537.72, 32,321.40 and 8,390.16 is: 12,591.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,537.72 : 32,321.40 = 8,390.16 : x
  2. Step 2: Convert to fraction form
    21,537.72/32,321.40 = 8,390.16/x
  3. Step 3: Cross multiply
    21,537.72x = 32,321.40 × 8,390.16
  4. Step 4: Simplify right side
    21,537.72x = 271,181,717.42
  5. Step 5: Solve for x
    x = 271,181,717.42/21,537.72
  6. Step 6: Final answer
    x = 12,591.01

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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.