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Finding the Fourth Proportional to 20,137.39, 30,210.44 and 7,657.65

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Solution

The fourth proportional to 20,137.39, 30,210.44 and 7,657.65 is: 11,488.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,137.39 : 30,210.44 = 7,657.65 : x
  2. Step 2: Convert to fraction form
    20,137.39/30,210.44 = 7,657.65/x
  3. Step 3: Cross multiply
    20,137.39x = 30,210.44 × 7,657.65
  4. Step 4: Simplify right side
    20,137.39x = 231,341,044.67
  5. Step 5: Solve for x
    x = 231,341,044.67/20,137.39
  6. Step 6: Final answer
    x = 11,488.13

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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.