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Finding the Fourth Proportional to 21,522.62, 32,281.32 and 5,728.80

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Solution

The fourth proportional to 21,522.62, 32,281.32 and 5,728.80 is: 8,592.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,522.62 : 32,281.32 = 5,728.80 : x
  2. Step 2: Convert to fraction form
    21,522.62/32,281.32 = 5,728.80/x
  3. Step 3: Cross multiply
    21,522.62x = 32,281.32 × 5,728.80
  4. Step 4: Simplify right side
    21,522.62x = 184,933,226.02
  5. Step 5: Solve for x
    x = 184,933,226.02/21,522.62
  6. Step 6: Final answer
    x = 8,592.51

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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.