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Finding the Fourth Proportional to 16,184.39, 22,333.74 and 9,014.68

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Solution

The fourth proportional to 16,184.39, 22,333.74 and 9,014.68 is: 12,439.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,184.39 : 22,333.74 = 9,014.68 : x
  2. Step 2: Convert to fraction form
    16,184.39/22,333.74 = 9,014.68/x
  3. Step 3: Cross multiply
    16,184.39x = 22,333.74 × 9,014.68
  4. Step 4: Simplify right side
    16,184.39x = 201,331,519.30
  5. Step 5: Solve for x
    x = 201,331,519.30/16,184.39
  6. Step 6: Final answer
    x = 12,439.86

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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.