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Finding the Fourth Proportional to 12,235.90, 16,972.18 and 11,816.32

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Solution

The fourth proportional to 12,235.90, 16,972.18 and 11,816.32 is: 16,390.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,235.90 : 16,972.18 = 11,816.32 : x
  2. Step 2: Convert to fraction form
    12,235.90/16,972.18 = 11,816.32/x
  3. Step 3: Cross multiply
    12,235.90x = 16,972.18 × 11,816.32
  4. Step 4: Simplify right side
    12,235.90x = 200,548,709.98
  5. Step 5: Solve for x
    x = 200,548,709.98/12,235.90
  6. Step 6: Final answer
    x = 16,390.19

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.