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Finding the Fourth Proportional to 14,202.38, 19,599.35 and 8,237.58

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Solution

The fourth proportional to 14,202.38, 19,599.35 and 8,237.58 is: 11,367.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,202.38 : 19,599.35 = 8,237.58 : x
  2. Step 2: Convert to fraction form
    14,202.38/19,599.35 = 8,237.58/x
  3. Step 3: Cross multiply
    14,202.38x = 19,599.35 × 8,237.58
  4. Step 4: Simplify right side
    14,202.38x = 161,451,213.57
  5. Step 5: Solve for x
    x = 161,451,213.57/14,202.38
  6. Step 6: Final answer
    x = 11,367.90

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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.