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Finding the Fourth Proportional to 13,540.08, 18,685.42 and 7,875.12

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Solution

The fourth proportional to 13,540.08, 18,685.42 and 7,875.12 is: 10,867.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,540.08 : 18,685.42 = 7,875.12 : x
  2. Step 2: Convert to fraction form
    13,540.08/18,685.42 = 7,875.12/x
  3. Step 3: Cross multiply
    13,540.08x = 18,685.42 × 7,875.12
  4. Step 4: Simplify right side
    13,540.08x = 147,149,924.75
  5. Step 5: Solve for x
    x = 147,149,924.75/13,540.08
  6. Step 6: Final answer
    x = 10,867.73

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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.