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Finding the Fourth Proportional to 16,184.22, 22,335.93 and 9,472.02

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Solution

The fourth proportional to 16,184.22, 22,335.93 and 9,472.02 is: 13,072.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,184.22 : 22,335.93 = 9,472.02 : x
  2. Step 2: Convert to fraction form
    16,184.22/22,335.93 = 9,472.02/x
  3. Step 3: Cross multiply
    16,184.22x = 22,335.93 × 9,472.02
  4. Step 4: Simplify right side
    16,184.22x = 211,566,375.68
  5. Step 5: Solve for x
    x = 211,566,375.68/16,184.22
  6. Step 6: Final answer
    x = 13,072.39

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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.