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Finding the Fourth Proportional to 21,467.28, 32,202 and 5,885.04

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Solution

The fourth proportional to 21,467.28, 32,202 and 5,885.04 is: 8,827.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,467.28 : 32,202 = 5,885.04 : x
  2. Step 2: Convert to fraction form
    21,467.28/32,202 = 5,885.04/x
  3. Step 3: Cross multiply
    21,467.28x = 32,202 × 5,885.04
  4. Step 4: Simplify right side
    21,467.28x = 189,510,058.08
  5. Step 5: Solve for x
    x = 189,510,058.08/21,467.28
  6. Step 6: Final answer
    x = 8,827.86

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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.