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Finding the Fourth Proportional to 21,689.50, 32,538.84 and 12,334

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Solution

The fourth proportional to 21,689.50, 32,538.84 and 12,334 is: 18,503.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,689.50 : 32,538.84 = 12,334 : x
  2. Step 2: Convert to fraction form
    21,689.50/32,538.84 = 12,334/x
  3. Step 3: Cross multiply
    21,689.50x = 32,538.84 × 12,334
  4. Step 4: Simplify right side
    21,689.50x = 401,334,052.56
  5. Step 5: Solve for x
    x = 401,334,052.56/21,689.50
  6. Step 6: Final answer
    x = 18,503.61

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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.