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Finding the Fourth Proportional to 14,809.40, 22,185.30 and 8,223.80

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Solution

The fourth proportional to 14,809.40, 22,185.30 and 8,223.80 is: 12,319.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,809.40 : 22,185.30 = 8,223.80 : x
  2. Step 2: Convert to fraction form
    14,809.40/22,185.30 = 8,223.80/x
  3. Step 3: Cross multiply
    14,809.40x = 22,185.30 × 8,223.80
  4. Step 4: Simplify right side
    14,809.40x = 182,447,470.14
  5. Step 5: Solve for x
    x = 182,447,470.14/14,809.40
  6. Step 6: Final answer
    x = 12,319.71

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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.