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Finding the Fourth Proportional to 18,543.60, 27,817.82 and 9,778.84

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Solution

The fourth proportional to 18,543.60, 27,817.82 and 9,778.84 is: 14,669.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,543.60 : 27,817.82 = 9,778.84 : x
  2. Step 2: Convert to fraction form
    18,543.60/27,817.82 = 9,778.84/x
  3. Step 3: Cross multiply
    18,543.60x = 27,817.82 × 9,778.84
  4. Step 4: Simplify right side
    18,543.60x = 272,026,010.93
  5. Step 5: Solve for x
    x = 272,026,010.93/18,543.60
  6. Step 6: Final answer
    x = 14,669.54

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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.