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Finding the Fourth Proportional to 14,281.26, 21,425.86 and 5,965.20

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Solution

The fourth proportional to 14,281.26, 21,425.86 and 5,965.20 is: 8,949.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,281.26 : 21,425.86 = 5,965.20 : x
  2. Step 2: Convert to fraction form
    14,281.26/21,425.86 = 5,965.20/x
  3. Step 3: Cross multiply
    14,281.26x = 21,425.86 × 5,965.20
  4. Step 4: Simplify right side
    14,281.26x = 127,809,540.07
  5. Step 5: Solve for x
    x = 127,809,540.07/14,281.26
  6. Step 6: Final answer
    x = 8,949.46

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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.