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Finding the Fourth Proportional to 22,568.96, 33,854.22 and 10,716.63

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Solution

The fourth proportional to 22,568.96, 33,854.22 and 10,716.63 is: 16,075.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,568.96 : 33,854.22 = 10,716.63 : x
  2. Step 2: Convert to fraction form
    22,568.96/33,854.22 = 10,716.63/x
  3. Step 3: Cross multiply
    22,568.96x = 33,854.22 × 10,716.63
  4. Step 4: Simplify right side
    22,568.96x = 362,803,149.68
  5. Step 5: Solve for x
    x = 362,803,149.68/22,568.96
  6. Step 6: Final answer
    x = 16,075.32

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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.