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Finding the Fourth Proportional to 14,584.02, 20,121.94 and 8,449.50

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Solution

The fourth proportional to 14,584.02, 20,121.94 and 8,449.50 is: 11,657.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,584.02 : 20,121.94 = 8,449.50 : x
  2. Step 2: Convert to fraction form
    14,584.02/20,121.94 = 8,449.50/x
  3. Step 3: Cross multiply
    14,584.02x = 20,121.94 × 8,449.50
  4. Step 4: Simplify right side
    14,584.02x = 170,020,332.03
  5. Step 5: Solve for x
    x = 170,020,332.03/14,584.02
  6. Step 6: Final answer
    x = 11,657.99

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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.