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Finding the Fourth Proportional to 13,724.72, 18,940.48 and 8,345.30

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Solution

The fourth proportional to 13,724.72, 18,940.48 and 8,345.30 is: 11,516.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,724.72 : 18,940.48 = 8,345.30 : x
  2. Step 2: Convert to fraction form
    13,724.72/18,940.48 = 8,345.30/x
  3. Step 3: Cross multiply
    13,724.72x = 18,940.48 × 8,345.30
  4. Step 4: Simplify right side
    13,724.72x = 158,063,987.74
  5. Step 5: Solve for x
    x = 158,063,987.74/13,724.72
  6. Step 6: Final answer
    x = 11,516.74

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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.