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Finding the Fourth Proportional to 19,685.76, 27,167 and 10,734

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Solution

The fourth proportional to 19,685.76, 27,167 and 10,734 is: 14,813.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,685.76 : 27,167 = 10,734 : x
  2. Step 2: Convert to fraction form
    19,685.76/27,167 = 10,734/x
  3. Step 3: Cross multiply
    19,685.76x = 27,167 × 10,734
  4. Step 4: Simplify right side
    19,685.76x = 291,610,578
  5. Step 5: Solve for x
    x = 291,610,578/19,685.76
  6. Step 6: Final answer
    x = 14,813.28

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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.