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Finding the Fourth Proportional to 13,049.66, 18,006.75 and 7,741.32

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Solution

The fourth proportional to 13,049.66, 18,006.75 and 7,741.32 is: 10,681.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,049.66 : 18,006.75 = 7,741.32 : x
  2. Step 2: Convert to fraction form
    13,049.66/18,006.75 = 7,741.32/x
  3. Step 3: Cross multiply
    13,049.66x = 18,006.75 × 7,741.32
  4. Step 4: Simplify right side
    13,049.66x = 139,396,013.91
  5. Step 5: Solve for x
    x = 139,396,013.91/13,049.66
  6. Step 6: Final answer
    x = 10,681.97

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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.