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Finding the Fourth Proportional to 13,105.50, 19,633.53 and 10,149.06

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Solution

The fourth proportional to 13,105.50, 19,633.53 and 10,149.06 is: 15,204.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,105.50 : 19,633.53 = 10,149.06 : x
  2. Step 2: Convert to fraction form
    13,105.50/19,633.53 = 10,149.06/x
  3. Step 3: Cross multiply
    13,105.50x = 19,633.53 × 10,149.06
  4. Step 4: Simplify right side
    13,105.50x = 199,261,873.98
  5. Step 5: Solve for x
    x = 199,261,873.98/13,105.50
  6. Step 6: Final answer
    x = 15,204.45

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Why These Related Problems?

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