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Finding the Fourth Proportional to 20,488.74, 30,733.14 and 5,697.66

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Solution

The fourth proportional to 20,488.74, 30,733.14 and 5,697.66 is: 8,546.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,488.74 : 30,733.14 = 5,697.66 : x
  2. Step 2: Convert to fraction form
    20,488.74/30,733.14 = 5,697.66/x
  3. Step 3: Cross multiply
    20,488.74x = 30,733.14 × 5,697.66
  4. Step 4: Simplify right side
    20,488.74x = 175,106,982.45
  5. Step 5: Solve for x
    x = 175,106,982.45/20,488.74
  6. Step 6: Final answer
    x = 8,546.50

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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.