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Finding the Fourth Proportional to 18,594.69, 27,886.11 and 6,111.83

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Solution

The fourth proportional to 18,594.69, 27,886.11 and 6,111.83 is: 9,165.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,594.69 : 27,886.11 = 6,111.83 : x
  2. Step 2: Convert to fraction form
    18,594.69/27,886.11 = 6,111.83/x
  3. Step 3: Cross multiply
    18,594.69x = 27,886.11 × 6,111.83
  4. Step 4: Simplify right side
    18,594.69x = 170,435,024.25
  5. Step 5: Solve for x
    x = 170,435,024.25/18,594.69
  6. Step 6: Final answer
    x = 9,165.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.