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Finding the Fourth Proportional to 19,634, 27,094.92 and 10,802

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Solution

The fourth proportional to 19,634, 27,094.92 and 10,802 is: 14,906.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,634 : 27,094.92 = 10,802 : x
  2. Step 2: Convert to fraction form
    19,634/27,094.92 = 10,802/x
  3. Step 3: Cross multiply
    19,634x = 27,094.92 × 10,802
  4. Step 4: Simplify right side
    19,634x = 292,679,325.84
  5. Step 5: Solve for x
    x = 292,679,325.84/19,634
  6. Step 6: Final answer
    x = 14,906.76

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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.