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Finding the Fourth Proportional to 18,589.86, 27,887.80 and 6,106.26

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Solution

The fourth proportional to 18,589.86, 27,887.80 and 6,106.26 is: 9,160.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,589.86 : 27,887.80 = 6,106.26 : x
  2. Step 2: Convert to fraction form
    18,589.86/27,887.80 = 6,106.26/x
  3. Step 3: Cross multiply
    18,589.86x = 27,887.80 × 6,106.26
  4. Step 4: Simplify right side
    18,589.86x = 170,290,157.63
  5. Step 5: Solve for x
    x = 170,290,157.63/18,589.86
  6. Step 6: Final answer
    x = 9,160.38

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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.