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Finding the Fourth Proportional to 13,538.10, 18,680.94 and 7,487.52

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Solution

The fourth proportional to 13,538.10, 18,680.94 and 7,487.52 is: 10,331.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,538.10 : 18,680.94 = 7,487.52 : x
  2. Step 2: Convert to fraction form
    13,538.10/18,680.94 = 7,487.52/x
  3. Step 3: Cross multiply
    13,538.10x = 18,680.94 × 7,487.52
  4. Step 4: Simplify right side
    13,538.10x = 139,873,911.87
  5. Step 5: Solve for x
    x = 139,873,911.87/13,538.10
  6. Step 6: Final answer
    x = 10,331.87

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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.