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Finding the Fourth Proportional to 21,691.50, 32,541.84 and 12,336

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Solution

The fourth proportional to 21,691.50, 32,541.84 and 12,336 is: 18,506.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,691.50 : 32,541.84 = 12,336 : x
  2. Step 2: Convert to fraction form
    21,691.50/32,541.84 = 12,336/x
  3. Step 3: Cross multiply
    21,691.50x = 32,541.84 × 12,336
  4. Step 4: Simplify right side
    21,691.50x = 401,436,138.24
  5. Step 5: Solve for x
    x = 401,436,138.24/21,691.50
  6. Step 6: Final answer
    x = 18,506.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.