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Finding the Fourth Proportional to 22,755.16, 31,402.26 and 12,684.24

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Solution

The fourth proportional to 22,755.16, 31,402.26 and 12,684.24 is: 17,504.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,755.16 : 31,402.26 = 12,684.24 : x
  2. Step 2: Convert to fraction form
    22,755.16/31,402.26 = 12,684.24/x
  3. Step 3: Cross multiply
    22,755.16x = 31,402.26 × 12,684.24
  4. Step 4: Simplify right side
    22,755.16x = 398,313,581.95
  5. Step 5: Solve for x
    x = 398,313,581.95/22,755.16
  6. Step 6: Final answer
    x = 17,504.32

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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.