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Finding the Fourth Proportional to 20,606.96, 30,869.22 and 9,498.44

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Solution

The fourth proportional to 20,606.96, 30,869.22 and 9,498.44 is: 14,228.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,606.96 : 30,869.22 = 9,498.44 : x
  2. Step 2: Convert to fraction form
    20,606.96/30,869.22 = 9,498.44/x
  3. Step 3: Cross multiply
    20,606.96x = 30,869.22 × 9,498.44
  4. Step 4: Simplify right side
    20,606.96x = 293,209,434.02
  5. Step 5: Solve for x
    x = 293,209,434.02/20,606.96
  6. Step 6: Final answer
    x = 14,228.66

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1.5x scale

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.