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Finding the Fourth Proportional to 16,202.68, 22,351.16 and 11,158.16

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Solution

The fourth proportional to 16,202.68, 22,351.16 and 11,158.16 is: 15,392.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,202.68 : 22,351.16 = 11,158.16 : x
  2. Step 2: Convert to fraction form
    16,202.68/22,351.16 = 11,158.16/x
  3. Step 3: Cross multiply
    16,202.68x = 22,351.16 × 11,158.16
  4. Step 4: Simplify right side
    16,202.68x = 249,397,735.61
  5. Step 5: Solve for x
    x = 249,397,735.61/16,202.68
  6. Step 6: Final answer
    x = 15,392.38

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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.