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Finding the Fourth Proportional to 13,741.68, 18,960.36 and 7,772.06

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Solution

The fourth proportional to 13,741.68, 18,960.36 and 7,772.06 is: 10,723.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,741.68 : 18,960.36 = 7,772.06 : x
  2. Step 2: Convert to fraction form
    13,741.68/18,960.36 = 7,772.06/x
  3. Step 3: Cross multiply
    13,741.68x = 18,960.36 × 7,772.06
  4. Step 4: Simplify right side
    13,741.68x = 147,360,960.74
  5. Step 5: Solve for x
    x = 147,360,960.74/13,741.68
  6. Step 6: Final answer
    x = 10,723.65

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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.