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Finding the Fourth Proportional to 20,132.88, 30,199.30 and 13,205.76

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Solution

The fourth proportional to 20,132.88, 30,199.30 and 13,205.76 is: 19,808.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,132.88 : 30,199.30 = 13,205.76 : x
  2. Step 2: Convert to fraction form
    20,132.88/30,199.30 = 13,205.76/x
  3. Step 3: Cross multiply
    20,132.88x = 30,199.30 × 13,205.76
  4. Step 4: Simplify right side
    20,132.88x = 398,804,707.97
  5. Step 5: Solve for x
    x = 398,804,707.97/20,132.88
  6. Step 6: Final answer
    x = 19,808.63

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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.