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Finding the Fourth Proportional to 15,736.71, 21,716.72 and 9,022.48

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Solution

The fourth proportional to 15,736.71, 21,716.72 and 9,022.48 is: 12,451.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,736.71 : 21,716.72 = 9,022.48 : x
  2. Step 2: Convert to fraction form
    15,736.71/21,716.72 = 9,022.48/x
  3. Step 3: Cross multiply
    15,736.71x = 21,716.72 × 9,022.48
  4. Step 4: Simplify right side
    15,736.71x = 195,938,671.87
  5. Step 5: Solve for x
    x = 195,938,671.87/15,736.71
  6. Step 6: Final answer
    x = 12,451.06

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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.