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Finding the Fourth Proportional to 18,594.32, 27,902.56 and 6,749.02

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Solution

The fourth proportional to 18,594.32, 27,902.56 and 6,749.02 is: 10,127.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,594.32 : 27,902.56 = 6,749.02 : x
  2. Step 2: Convert to fraction form
    18,594.32/27,902.56 = 6,749.02/x
  3. Step 3: Cross multiply
    18,594.32x = 27,902.56 × 6,749.02
  4. Step 4: Simplify right side
    18,594.32x = 188,314,935.49
  5. Step 5: Solve for x
    x = 188,314,935.49/18,594.32
  6. Step 6: Final answer
    x = 10,127.55

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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.