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Finding the Fourth Proportional to 22,716.49, 31,332 and 15,645.19

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Solution

The fourth proportional to 22,716.49, 31,332 and 15,645.19 is: 21,578.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,716.49 : 31,332 = 15,645.19 : x
  2. Step 2: Convert to fraction form
    22,716.49/31,332 = 15,645.19/x
  3. Step 3: Cross multiply
    22,716.49x = 31,332 × 15,645.19
  4. Step 4: Simplify right side
    22,716.49x = 490,195,093.08
  5. Step 5: Solve for x
    x = 490,195,093.08/22,716.49
  6. Step 6: Final answer
    x = 21,578.82

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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.