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Finding the Fourth Proportional to 18,594.87, 27,886.38 and 6,112.02

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Solution

The fourth proportional to 18,594.87, 27,886.38 and 6,112.02 is: 9,166.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,594.87 : 27,886.38 = 6,112.02 : x
  2. Step 2: Convert to fraction form
    18,594.87/27,886.38 = 6,112.02/x
  3. Step 3: Cross multiply
    18,594.87x = 27,886.38 × 6,112.02
  4. Step 4: Simplify right side
    18,594.87x = 170,442,112.29
  5. Step 5: Solve for x
    x = 170,442,112.29/18,594.87
  6. Step 6: Final answer
    x = 9,166.08

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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.