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Finding the Fourth Proportional to 12,583.23, 18,873.77 and 5,918.16

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Solution

The fourth proportional to 12,583.23, 18,873.77 and 5,918.16 is: 8,876.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,583.23 : 18,873.77 = 5,918.16 : x
  2. Step 2: Convert to fraction form
    12,583.23/18,873.77 = 5,918.16/x
  3. Step 3: Cross multiply
    12,583.23x = 18,873.77 × 5,918.16
  4. Step 4: Simplify right side
    12,583.23x = 111,698,030.44
  5. Step 5: Solve for x
    x = 111,698,030.44/12,583.23
  6. Step 6: Final answer
    x = 8,876.74

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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.