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Finding the Fourth Proportional to 14,207.58, 19,603.86 and 8,238.42

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Solution

The fourth proportional to 14,207.58, 19,603.86 and 8,238.42 is: 11,367.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,207.58 : 19,603.86 = 8,238.42 : x
  2. Step 2: Convert to fraction form
    14,207.58/19,603.86 = 8,238.42/x
  3. Step 3: Cross multiply
    14,207.58x = 19,603.86 × 8,238.42
  4. Step 4: Simplify right side
    14,207.58x = 161,504,832.30
  5. Step 5: Solve for x
    x = 161,504,832.30/14,207.58
  6. Step 6: Final answer
    x = 11,367.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.