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Finding the Fourth Proportional to 21,522.20, 32,234.70 and 12,774.20

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Solution

The fourth proportional to 21,522.20, 32,234.70 and 12,774.20 is: 19,132.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,522.20 : 32,234.70 = 12,774.20 : x
  2. Step 2: Convert to fraction form
    21,522.20/32,234.70 = 12,774.20/x
  3. Step 3: Cross multiply
    21,522.20x = 32,234.70 × 12,774.20
  4. Step 4: Simplify right side
    21,522.20x = 411,772,504.74
  5. Step 5: Solve for x
    x = 411,772,504.74/21,522.20
  6. Step 6: Final answer
    x = 19,132.45

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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.