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Finding the Fourth Proportional to 16,167.38, 22,312.26 and 9,094.32

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Solution

The fourth proportional to 16,167.38, 22,312.26 and 9,094.32 is: 12,550.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,167.38 : 22,312.26 = 9,094.32 : x
  2. Step 2: Convert to fraction form
    16,167.38/22,312.26 = 9,094.32/x
  3. Step 3: Cross multiply
    16,167.38x = 22,312.26 × 9,094.32
  4. Step 4: Simplify right side
    16,167.38x = 202,914,832.36
  5. Step 5: Solve for x
    x = 202,914,832.36/16,167.38
  6. Step 6: Final answer
    x = 12,550.88

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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.