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Finding the Fourth Proportional to 13,741.46, 18,964.44 and 7,774.22

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Solution

The fourth proportional to 13,741.46, 18,964.44 and 7,774.22 is: 10,729.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,741.46 : 18,964.44 = 7,774.22 : x
  2. Step 2: Convert to fraction form
    13,741.46/18,964.44 = 7,774.22/x
  3. Step 3: Cross multiply
    13,741.46x = 18,964.44 × 7,774.22
  4. Step 4: Simplify right side
    13,741.46x = 147,433,728.74
  5. Step 5: Solve for x
    x = 147,433,728.74/13,741.46
  6. Step 6: Final answer
    x = 10,729.12

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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.