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Finding the Fourth Proportional to 14,911.70, 22,370.24 and 6,141.83

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Solution

The fourth proportional to 14,911.70, 22,370.24 and 6,141.83 is: 9,213.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,911.70 : 22,370.24 = 6,141.83 : x
  2. Step 2: Convert to fraction form
    14,911.70/22,370.24 = 6,141.83/x
  3. Step 3: Cross multiply
    14,911.70x = 22,370.24 × 6,141.83
  4. Step 4: Simplify right side
    14,911.70x = 137,394,114.64
  5. Step 5: Solve for x
    x = 137,394,114.64/14,911.70
  6. Step 6: Final answer
    x = 9,213.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.