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Finding the Fourth Proportional to 11,815.74, 17,727.48 and 10,073.88

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Solution

The fourth proportional to 11,815.74, 17,727.48 and 10,073.88 is: 15,114.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,815.74 : 17,727.48 = 10,073.88 : x
  2. Step 2: Convert to fraction form
    11,815.74/17,727.48 = 10,073.88/x
  3. Step 3: Cross multiply
    11,815.74x = 17,727.48 × 10,073.88
  4. Step 4: Simplify right side
    11,815.74x = 178,584,506.22
  5. Step 5: Solve for x
    x = 178,584,506.22/11,815.74
  6. Step 6: Final answer
    x = 15,114.12

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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.