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Finding the Fourth Proportional to 20,497.07, 30,749.72 and 6,460.65

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Solution

The fourth proportional to 20,497.07, 30,749.72 and 6,460.65 is: 9,692.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,497.07 : 30,749.72 = 6,460.65 : x
  2. Step 2: Convert to fraction form
    20,497.07/30,749.72 = 6,460.65/x
  3. Step 3: Cross multiply
    20,497.07x = 30,749.72 × 6,460.65
  4. Step 4: Simplify right side
    20,497.07x = 198,663,146.21
  5. Step 5: Solve for x
    x = 198,663,146.21/20,497.07
  6. Step 6: Final answer
    x = 9,692.27

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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.