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Finding the Fourth Proportional to 22,568.16, 31,142.16 and 13,493.28

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Solution

The fourth proportional to 22,568.16, 31,142.16 and 13,493.28 is: 18,619.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,568.16 : 31,142.16 = 13,493.28 : x
  2. Step 2: Convert to fraction form
    22,568.16/31,142.16 = 13,493.28/x
  3. Step 3: Cross multiply
    22,568.16x = 31,142.16 × 13,493.28
  4. Step 4: Simplify right side
    22,568.16x = 420,209,884.68
  5. Step 5: Solve for x
    x = 420,209,884.68/22,568.16
  6. Step 6: Final answer
    x = 18,619.59

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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.