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Finding the Fourth Proportional to 13,578.62, 18,738.27 and 7,610.25

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Solution

The fourth proportional to 13,578.62, 18,738.27 and 7,610.25 is: 10,502.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,578.62 : 18,738.27 = 7,610.25 : x
  2. Step 2: Convert to fraction form
    13,578.62/18,738.27 = 7,610.25/x
  3. Step 3: Cross multiply
    13,578.62x = 18,738.27 × 7,610.25
  4. Step 4: Simplify right side
    13,578.62x = 142,602,919.27
  5. Step 5: Solve for x
    x = 142,602,919.27/13,578.62
  6. Step 6: Final answer
    x = 10,502.02

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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.