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Finding the Fourth Proportional to 13,725.72, 18,941.86 and 8,346.30

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Solution

The fourth proportional to 13,725.72, 18,941.86 and 8,346.30 is: 11,518.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,725.72 : 18,941.86 = 8,346.30 : x
  2. Step 2: Convert to fraction form
    13,725.72/18,941.86 = 8,346.30/x
  3. Step 3: Cross multiply
    13,725.72x = 18,941.86 × 8,346.30
  4. Step 4: Simplify right side
    13,725.72x = 158,094,446.12
  5. Step 5: Solve for x
    x = 158,094,446.12/13,725.72
  6. Step 6: Final answer
    x = 11,518.12

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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.