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Finding the Fourth Proportional to 13,052.16, 18,012.24 and 7,747.44

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Solution

The fourth proportional to 13,052.16, 18,012.24 and 7,747.44 is: 10,691.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,052.16 : 18,012.24 = 7,747.44 : x
  2. Step 2: Convert to fraction form
    13,052.16/18,012.24 = 7,747.44/x
  3. Step 3: Cross multiply
    13,052.16x = 18,012.24 × 7,747.44
  4. Step 4: Simplify right side
    13,052.16x = 139,548,748.67
  5. Step 5: Solve for x
    x = 139,548,748.67/13,052.16
  6. Step 6: Final answer
    x = 10,691.62

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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.