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Finding the Fourth Proportional to 13,920.27, 20,866.22 and 6,889.74

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Solution

The fourth proportional to 13,920.27, 20,866.22 and 6,889.74 is: 10,327.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,920.27 : 20,866.22 = 6,889.74 : x
  2. Step 2: Convert to fraction form
    13,920.27/20,866.22 = 6,889.74/x
  3. Step 3: Cross multiply
    13,920.27x = 20,866.22 × 6,889.74
  4. Step 4: Simplify right side
    13,920.27x = 143,762,830.58
  5. Step 5: Solve for x
    x = 143,762,830.58/13,920.27
  6. Step 6: Final answer
    x = 10,327.59

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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.