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Finding the Fourth Proportional to 21,344.84, 32,026.49 and 8,194.14

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Solution

The fourth proportional to 21,344.84, 32,026.49 and 8,194.14 is: 12,294.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,344.84 : 32,026.49 = 8,194.14 : x
  2. Step 2: Convert to fraction form
    21,344.84/32,026.49 = 8,194.14/x
  3. Step 3: Cross multiply
    21,344.84x = 32,026.49 × 8,194.14
  4. Step 4: Simplify right side
    21,344.84x = 262,429,501.80
  5. Step 5: Solve for x
    x = 262,429,501.80/21,344.84
  6. Step 6: Final answer
    x = 12,294.75

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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.