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Finding the Fourth Proportional to 13,723.52, 18,938.96 and 7,755.84

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Solution

The fourth proportional to 13,723.52, 18,938.96 and 7,755.84 is: 10,703.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,723.52 : 18,938.96 = 7,755.84 : x
  2. Step 2: Convert to fraction form
    13,723.52/18,938.96 = 7,755.84/x
  3. Step 3: Cross multiply
    13,723.52x = 18,938.96 × 7,755.84
  4. Step 4: Simplify right side
    13,723.52x = 146,887,504.75
  5. Step 5: Solve for x
    x = 146,887,504.75/13,723.52
  6. Step 6: Final answer
    x = 10,703.34

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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.