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Finding the Fourth Proportional to 14,138.06, 19,507.14 and 9,103.91

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Solution

The fourth proportional to 14,138.06, 19,507.14 and 9,103.91 is: 12,561.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,138.06 : 19,507.14 = 9,103.91 : x
  2. Step 2: Convert to fraction form
    14,138.06/19,507.14 = 9,103.91/x
  3. Step 3: Cross multiply
    14,138.06x = 19,507.14 × 9,103.91
  4. Step 4: Simplify right side
    14,138.06x = 177,591,149.38
  5. Step 5: Solve for x
    x = 177,591,149.38/14,138.06
  6. Step 6: Final answer
    x = 12,561.22

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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.