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Finding the Fourth Proportional to 14,744.25, 20,347.07 and 8,120.25

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Solution

The fourth proportional to 14,744.25, 20,347.07 and 8,120.25 is: 11,205.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,744.25 : 20,347.07 = 8,120.25 : x
  2. Step 2: Convert to fraction form
    14,744.25/20,347.07 = 8,120.25/x
  3. Step 3: Cross multiply
    14,744.25x = 20,347.07 × 8,120.25
  4. Step 4: Simplify right side
    14,744.25x = 165,223,254.57
  5. Step 5: Solve for x
    x = 165,223,254.57/14,744.25
  6. Step 6: Final answer
    x = 11,205.95

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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.