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Finding the Fourth Proportional to 13,243.77, 18,276.03 and 7,578.77

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Solution

The fourth proportional to 13,243.77, 18,276.03 and 7,578.77 is: 10,458.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,243.77 : 18,276.03 = 7,578.77 : x
  2. Step 2: Convert to fraction form
    13,243.77/18,276.03 = 7,578.77/x
  3. Step 3: Cross multiply
    13,243.77x = 18,276.03 × 7,578.77
  4. Step 4: Simplify right side
    13,243.77x = 138,509,736.50
  5. Step 5: Solve for x
    x = 138,509,736.50/13,243.77
  6. Step 6: Final answer
    x = 10,458.48

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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.