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Finding the Fourth Proportional to 20,798.25, 31,178.34 and 7,640.61

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Solution

The fourth proportional to 20,798.25, 31,178.34 and 7,640.61 is: 11,453.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,798.25 : 31,178.34 = 7,640.61 : x
  2. Step 2: Convert to fraction form
    20,798.25/31,178.34 = 7,640.61/x
  3. Step 3: Cross multiply
    20,798.25x = 31,178.34 × 7,640.61
  4. Step 4: Simplify right side
    20,798.25x = 238,221,536.39
  5. Step 5: Solve for x
    x = 238,221,536.39/20,798.25
  6. Step 6: Final answer
    x = 11,453.92

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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.