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Finding the Fourth Proportional to 20,906.66, 31,370.22 and 9,814.25

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Solution

The fourth proportional to 20,906.66, 31,370.22 and 9,814.25 is: 14,726.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,906.66 : 31,370.22 = 9,814.25 : x
  2. Step 2: Convert to fraction form
    20,906.66/31,370.22 = 9,814.25/x
  3. Step 3: Cross multiply
    20,906.66x = 31,370.22 × 9,814.25
  4. Step 4: Simplify right side
    20,906.66x = 307,875,024.78
  5. Step 5: Solve for x
    x = 307,875,024.78/20,906.66
  6. Step 6: Final answer
    x = 14,726.17

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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.