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Finding the Fourth Proportional to 13,243.56, 18,275.40 and 7,578.42

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Solution

The fourth proportional to 13,243.56, 18,275.40 and 7,578.42 is: 10,457.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,243.56 : 18,275.40 = 7,578.42 : x
  2. Step 2: Convert to fraction form
    13,243.56/18,275.40 = 7,578.42/x
  3. Step 3: Cross multiply
    13,243.56x = 18,275.40 × 7,578.42
  4. Step 4: Simplify right side
    13,243.56x = 138,498,656.87
  5. Step 5: Solve for x
    x = 138,498,656.87/13,243.56
  6. Step 6: Final answer
    x = 10,457.81

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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.