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Finding the Fourth Proportional to 13,723.50, 18,941.18 and 7,755.24

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Solution

The fourth proportional to 13,723.50, 18,941.18 and 7,755.24 is: 10,703.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,723.50 : 18,941.18 = 7,755.24 : x
  2. Step 2: Convert to fraction form
    13,723.50/18,941.18 = 7,755.24/x
  3. Step 3: Cross multiply
    13,723.50x = 18,941.18 × 7,755.24
  4. Step 4: Simplify right side
    13,723.50x = 146,893,358.01
  5. Step 5: Solve for x
    x = 146,893,358.01/13,723.50
  6. Step 6: Final answer
    x = 10,703.78

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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.