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Finding the Fourth Proportional to 22,755.91, 31,403.29 and 12,684.99

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Solution

The fourth proportional to 22,755.91, 31,403.29 and 12,684.99 is: 17,505.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,755.91 : 31,403.29 = 12,684.99 : x
  2. Step 2: Convert to fraction form
    22,755.91/31,403.29 = 12,684.99/x
  3. Step 3: Cross multiply
    22,755.91x = 31,403.29 × 12,684.99
  4. Step 4: Simplify right side
    22,755.91x = 398,350,419.62
  5. Step 5: Solve for x
    x = 398,350,419.62/22,755.91
  6. Step 6: Final answer
    x = 17,505.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.