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Finding the Fourth Proportional to 12,583.68, 18,876 and 4,688.19

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Solution

The fourth proportional to 12,583.68, 18,876 and 4,688.19 is: 7,032.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,583.68 : 18,876 = 4,688.19 : x
  2. Step 2: Convert to fraction form
    12,583.68/18,876 = 4,688.19/x
  3. Step 3: Cross multiply
    12,583.68x = 18,876 × 4,688.19
  4. Step 4: Simplify right side
    12,583.68x = 88,494,274.44
  5. Step 5: Solve for x
    x = 88,494,274.44/12,583.68
  6. Step 6: Final answer
    x = 7,032.46

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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.