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Finding the Fourth Proportional to 20,308.40, 30,441.84 and 11,524.76

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Solution

The fourth proportional to 20,308.40, 30,441.84 and 11,524.76 is: 17,275.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,308.40 : 30,441.84 = 11,524.76 : x
  2. Step 2: Convert to fraction form
    20,308.40/30,441.84 = 11,524.76/x
  3. Step 3: Cross multiply
    20,308.40x = 30,441.84 × 11,524.76
  4. Step 4: Simplify right side
    20,308.40x = 350,834,899.96
  5. Step 5: Solve for x
    x = 350,834,899.96/20,308.40
  6. Step 6: Final answer
    x = 17,275.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.