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Finding the Fourth Proportional to 21,520.16, 32,286 and 12,292.64

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Solution

The fourth proportional to 21,520.16, 32,286 and 12,292.64 is: 18,442.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,520.16 : 32,286 = 12,292.64 : x
  2. Step 2: Convert to fraction form
    21,520.16/32,286 = 12,292.64/x
  3. Step 3: Cross multiply
    21,520.16x = 32,286 × 12,292.64
  4. Step 4: Simplify right side
    21,520.16x = 396,880,175.04
  5. Step 5: Solve for x
    x = 396,880,175.04/21,520.16
  6. Step 6: Final answer
    x = 18,442.25

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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.