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Finding the Fourth Proportional to 13,416.77, 20,125.22 and 7,866.22

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Solution

The fourth proportional to 13,416.77, 20,125.22 and 7,866.22 is: 11,799.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,416.77 : 20,125.22 = 7,866.22 : x
  2. Step 2: Convert to fraction form
    13,416.77/20,125.22 = 7,866.22/x
  3. Step 3: Cross multiply
    13,416.77x = 20,125.22 × 7,866.22
  4. Step 4: Simplify right side
    13,416.77x = 158,309,352.49
  5. Step 5: Solve for x
    x = 158,309,352.49/13,416.77
  6. Step 6: Final answer
    x = 11,799.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.