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Finding the Fourth Proportional to 16,141.28, 22,277.62 and 13,448.24

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Solution

The fourth proportional to 16,141.28, 22,277.62 and 13,448.24 is: 18,560.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,141.28 : 22,277.62 = 13,448.24 : x
  2. Step 2: Convert to fraction form
    16,141.28/22,277.62 = 13,448.24/x
  3. Step 3: Cross multiply
    16,141.28x = 22,277.62 × 13,448.24
  4. Step 4: Simplify right side
    16,141.28x = 299,594,635.38
  5. Step 5: Solve for x
    x = 299,594,635.38/16,141.28
  6. Step 6: Final answer
    x = 18,560.77

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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.