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Finding the Fourth Proportional to 12,580.44, 18,874.60 and 5,188.38

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Solution

The fourth proportional to 12,580.44, 18,874.60 and 5,188.38 is: 7,784.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,580.44 : 18,874.60 = 5,188.38 : x
  2. Step 2: Convert to fraction form
    12,580.44/18,874.60 = 5,188.38/x
  3. Step 3: Cross multiply
    12,580.44x = 18,874.60 × 5,188.38
  4. Step 4: Simplify right side
    12,580.44x = 97,928,597.15
  5. Step 5: Solve for x
    x = 97,928,597.15/12,580.44
  6. Step 6: Final answer
    x = 7,784.19

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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.