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Finding the Fourth Proportional to 16,078.38, 22,184.15 and 9,274.48

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Solution

The fourth proportional to 16,078.38, 22,184.15 and 9,274.48 is: 12,796.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,078.38 : 22,184.15 = 9,274.48 : x
  2. Step 2: Convert to fraction form
    16,078.38/22,184.15 = 9,274.48/x
  3. Step 3: Cross multiply
    16,078.38x = 22,184.15 × 9,274.48
  4. Step 4: Simplify right side
    16,078.38x = 205,746,298.20
  5. Step 5: Solve for x
    x = 205,746,298.20/16,078.38
  6. Step 6: Final answer
    x = 12,796.46

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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.