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Finding the Fourth Proportional to 18,592.93, 27,890 and 6,749.11

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Solution

The fourth proportional to 18,592.93, 27,890 and 6,749.11 is: 10,123.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,592.93 : 27,890 = 6,749.11 : x
  2. Step 2: Convert to fraction form
    18,592.93/27,890 = 6,749.11/x
  3. Step 3: Cross multiply
    18,592.93x = 27,890 × 6,749.11
  4. Step 4: Simplify right side
    18,592.93x = 188,232,677.90
  5. Step 5: Solve for x
    x = 188,232,677.90/18,592.93
  6. Step 6: Final answer
    x = 10,123.88

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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.