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Finding the Fourth Proportional to 13,449.50, 18,560.31 and 7,561.50

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Solution

The fourth proportional to 13,449.50, 18,560.31 and 7,561.50 is: 10,434.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,449.50 : 18,560.31 = 7,561.50 : x
  2. Step 2: Convert to fraction form
    13,449.50/18,560.31 = 7,561.50/x
  3. Step 3: Cross multiply
    13,449.50x = 18,560.31 × 7,561.50
  4. Step 4: Simplify right side
    13,449.50x = 140,343,784.07
  5. Step 5: Solve for x
    x = 140,343,784.07/13,449.50
  6. Step 6: Final answer
    x = 10,434.87

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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.