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Finding the Fourth Proportional to 18,539, 27,809.68 and 7,444.22

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Solution

The fourth proportional to 18,539, 27,809.68 and 7,444.22 is: 11,166.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,539 : 27,809.68 = 7,444.22 : x
  2. Step 2: Convert to fraction form
    18,539/27,809.68 = 7,444.22/x
  3. Step 3: Cross multiply
    18,539x = 27,809.68 × 7,444.22
  4. Step 4: Simplify right side
    18,539x = 207,021,376.05
  5. Step 5: Solve for x
    x = 207,021,376.05/18,539
  6. Step 6: Final answer
    x = 11,166.80

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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.