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Finding the Fourth Proportional to 13,311.16, 18,370.24 and 7,647.68

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Solution

The fourth proportional to 13,311.16, 18,370.24 and 7,647.68 is: 10,554.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,311.16 : 18,370.24 = 7,647.68 : x
  2. Step 2: Convert to fraction form
    13,311.16/18,370.24 = 7,647.68/x
  3. Step 3: Cross multiply
    13,311.16x = 18,370.24 × 7,647.68
  4. Step 4: Simplify right side
    13,311.16x = 140,489,717.04
  5. Step 5: Solve for x
    x = 140,489,717.04/13,311.16
  6. Step 6: Final answer
    x = 10,554.28

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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.