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Finding the Fourth Proportional to 13,911.75, 19,198.22 and 7,624.13

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Solution

The fourth proportional to 13,911.75, 19,198.22 and 7,624.13 is: 10,521.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,911.75 : 19,198.22 = 7,624.13 : x
  2. Step 2: Convert to fraction form
    13,911.75/19,198.22 = 7,624.13/x
  3. Step 3: Cross multiply
    13,911.75x = 19,198.22 × 7,624.13
  4. Step 4: Simplify right side
    13,911.75x = 146,369,590.94
  5. Step 5: Solve for x
    x = 146,369,590.94/13,911.75
  6. Step 6: Final answer
    x = 10,521.29

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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.