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Finding the Fourth Proportional to 21,522.16, 32,289 and 12,294.64

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Solution

The fourth proportional to 21,522.16, 32,289 and 12,294.64 is: 18,445.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,522.16 : 32,289 = 12,294.64 : x
  2. Step 2: Convert to fraction form
    21,522.16/32,289 = 12,294.64/x
  3. Step 3: Cross multiply
    21,522.16x = 32,289 × 12,294.64
  4. Step 4: Simplify right side
    21,522.16x = 396,981,630.96
  5. Step 5: Solve for x
    x = 396,981,630.96/21,522.16
  6. Step 6: Final answer
    x = 18,445.25

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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.