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Finding the Fourth Proportional to 13,765.74, 18,990.63 and 8,173.50

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Solution

The fourth proportional to 13,765.74, 18,990.63 and 8,173.50 is: 11,275.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,765.74 : 18,990.63 = 8,173.50 : x
  2. Step 2: Convert to fraction form
    13,765.74/18,990.63 = 8,173.50/x
  3. Step 3: Cross multiply
    13,765.74x = 18,990.63 × 8,173.50
  4. Step 4: Simplify right side
    13,765.74x = 155,219,914.31
  5. Step 5: Solve for x
    x = 155,219,914.31/13,765.74
  6. Step 6: Final answer
    x = 11,275.81

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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.