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Finding the Fourth Proportional to 14,138.20, 21,207.30 and 11,834.20

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Solution

The fourth proportional to 14,138.20, 21,207.30 and 11,834.20 is: 17,751.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,138.20 : 21,207.30 = 11,834.20 : x
  2. Step 2: Convert to fraction form
    14,138.20/21,207.30 = 11,834.20/x
  3. Step 3: Cross multiply
    14,138.20x = 21,207.30 × 11,834.20
  4. Step 4: Simplify right side
    14,138.20x = 250,971,429.66
  5. Step 5: Solve for x
    x = 250,971,429.66/14,138.20
  6. Step 6: Final answer
    x = 17,751.30

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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.