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Finding the Fourth Proportional to 20,909.62, 31,381.71 and 8,606.26

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Solution

The fourth proportional to 20,909.62, 31,381.71 and 8,606.26 is: 12,916.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,909.62 : 31,381.71 = 8,606.26 : x
  2. Step 2: Convert to fraction form
    20,909.62/31,381.71 = 8,606.26/x
  3. Step 3: Cross multiply
    20,909.62x = 31,381.71 × 8,606.26
  4. Step 4: Simplify right side
    20,909.62x = 270,079,155.50
  5. Step 5: Solve for x
    x = 270,079,155.50/20,909.62
  6. Step 6: Final answer
    x = 12,916.50

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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.