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Finding the Fourth Proportional to 20,089.76, 30,134.36 and 6,765.66

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Solution

The fourth proportional to 20,089.76, 30,134.36 and 6,765.66 is: 10,148.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,089.76 : 30,134.36 = 6,765.66 : x
  2. Step 2: Convert to fraction form
    20,089.76/30,134.36 = 6,765.66/x
  3. Step 3: Cross multiply
    20,089.76x = 30,134.36 × 6,765.66
  4. Step 4: Simplify right side
    20,089.76x = 203,878,850.99
  5. Step 5: Solve for x
    x = 203,878,850.99/20,089.76
  6. Step 6: Final answer
    x = 10,148.40

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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.