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Finding the Fourth Proportional to 22,568.28, 31,154.42 and 14,513.64

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Solution

The fourth proportional to 22,568.28, 31,154.42 and 14,513.64 is: 20,035.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,568.28 : 31,154.42 = 14,513.64 : x
  2. Step 2: Convert to fraction form
    22,568.28/31,154.42 = 14,513.64/x
  3. Step 3: Cross multiply
    22,568.28x = 31,154.42 × 14,513.64
  4. Step 4: Simplify right side
    22,568.28x = 452,163,963.72
  5. Step 5: Solve for x
    x = 452,163,963.72/22,568.28
  6. Step 6: Final answer
    x = 20,035.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.