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Finding the Fourth Proportional to 13,614.15, 18,786.12 and 7,645.77

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Solution

The fourth proportional to 13,614.15, 18,786.12 and 7,645.77 is: 10,550.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,614.15 : 18,786.12 = 7,645.77 : x
  2. Step 2: Convert to fraction form
    13,614.15/18,786.12 = 7,645.77/x
  3. Step 3: Cross multiply
    13,614.15x = 18,786.12 × 7,645.77
  4. Step 4: Simplify right side
    13,614.15x = 143,634,352.71
  5. Step 5: Solve for x
    x = 143,634,352.71/13,614.15
  6. Step 6: Final answer
    x = 10,550.37

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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.