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Finding the Fourth Proportional to 27,869.50, 38,447.35 and 16,539.48

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Solution

The fourth proportional to 27,869.50, 38,447.35 and 16,539.48 is: 22,817.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,869.50 : 38,447.35 = 16,539.48 : x
  2. Step 2: Convert to fraction form
    27,869.50/38,447.35 = 16,539.48/x
  3. Step 3: Cross multiply
    27,869.50x = 38,447.35 × 16,539.48
  4. Step 4: Simplify right side
    27,869.50x = 635,898,984.14
  5. Step 5: Solve for x
    x = 635,898,984.14/27,869.50
  6. Step 6: Final answer
    x = 22,817.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.