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Finding the Fourth Proportional to 16,231.87, 22,399.80 and 9,158.32

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Solution

The fourth proportional to 16,231.87, 22,399.80 and 9,158.32 is: 12,638.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,231.87 : 22,399.80 = 9,158.32 : x
  2. Step 2: Convert to fraction form
    16,231.87/22,399.80 = 9,158.32/x
  3. Step 3: Cross multiply
    16,231.87x = 22,399.80 × 9,158.32
  4. Step 4: Simplify right side
    16,231.87x = 205,144,424.34
  5. Step 5: Solve for x
    x = 205,144,424.34/16,231.87
  6. Step 6: Final answer
    x = 12,638.38

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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.