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Finding the Fourth Proportional to 13,583.20, 18,745.68 and 8,880.16

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Solution

The fourth proportional to 13,583.20, 18,745.68 and 8,880.16 is: 12,255.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,583.20 : 18,745.68 = 8,880.16 : x
  2. Step 2: Convert to fraction form
    13,583.20/18,745.68 = 8,880.16/x
  3. Step 3: Cross multiply
    13,583.20x = 18,745.68 × 8,880.16
  4. Step 4: Simplify right side
    13,583.20x = 166,464,637.71
  5. Step 5: Solve for x
    x = 166,464,637.71/13,583.20
  6. Step 6: Final answer
    x = 12,255.19

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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.