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Finding the Fourth Proportional to 14,806, 20,432.40 and 8,522.32

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Solution

The fourth proportional to 14,806, 20,432.40 and 8,522.32 is: 11,760.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,806 : 20,432.40 = 8,522.32 : x
  2. Step 2: Convert to fraction form
    14,806/20,432.40 = 8,522.32/x
  3. Step 3: Cross multiply
    14,806x = 20,432.40 × 8,522.32
  4. Step 4: Simplify right side
    14,806x = 174,131,451.17
  5. Step 5: Solve for x
    x = 174,131,451.17/14,806
  6. Step 6: Final answer
    x = 11,760.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.