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Finding the Fourth Proportional to 16,138.41, 22,270.89 and 9,332.28

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Solution

The fourth proportional to 16,138.41, 22,270.89 and 9,332.28 is: 12,878.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,138.41 : 22,270.89 = 9,332.28 : x
  2. Step 2: Convert to fraction form
    16,138.41/22,270.89 = 9,332.28/x
  3. Step 3: Cross multiply
    16,138.41x = 22,270.89 × 9,332.28
  4. Step 4: Simplify right side
    16,138.41x = 207,838,181.33
  5. Step 5: Solve for x
    x = 207,838,181.33/16,138.41
  6. Step 6: Final answer
    x = 12,878.48

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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.