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Finding the Fourth Proportional to 19,749, 27,253.62 and 10,917

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Solution

The fourth proportional to 19,749, 27,253.62 and 10,917 is: 15,065.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,749 : 27,253.62 = 10,917 : x
  2. Step 2: Convert to fraction form
    19,749/27,253.62 = 10,917/x
  3. Step 3: Cross multiply
    19,749x = 27,253.62 × 10,917
  4. Step 4: Simplify right side
    19,749x = 297,527,769.54
  5. Step 5: Solve for x
    x = 297,527,769.54/19,749
  6. Step 6: Final answer
    x = 15,065.46

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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.