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Finding the Fourth Proportional to 13,513.05, 18,647.91 and 7,463.68

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Solution

The fourth proportional to 13,513.05, 18,647.91 and 7,463.68 is: 10,299.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,513.05 : 18,647.91 = 7,463.68 : x
  2. Step 2: Convert to fraction form
    13,513.05/18,647.91 = 7,463.68/x
  3. Step 3: Cross multiply
    13,513.05x = 18,647.91 × 7,463.68
  4. Step 4: Simplify right side
    13,513.05x = 139,181,986.29
  5. Step 5: Solve for x
    x = 139,181,986.29/13,513.05
  6. Step 6: Final answer
    x = 10,299.82

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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.