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Finding the Fourth Proportional to 13,229.24, 18,253.50 and 7,637

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Solution

The fourth proportional to 13,229.24, 18,253.50 and 7,637 is: 10,537.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,229.24 : 18,253.50 = 7,637 : x
  2. Step 2: Convert to fraction form
    13,229.24/18,253.50 = 7,637/x
  3. Step 3: Cross multiply
    13,229.24x = 18,253.50 × 7,637
  4. Step 4: Simplify right side
    13,229.24x = 139,401,979.50
  5. Step 5: Solve for x
    x = 139,401,979.50/13,229.24
  6. Step 6: Final answer
    x = 10,537.41

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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.