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Finding the Fourth Proportional to 14,674.20, 21,996.90 and 7,657.80

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Solution

The fourth proportional to 14,674.20, 21,996.90 and 7,657.80 is: 11,479.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,674.20 : 21,996.90 = 7,657.80 : x
  2. Step 2: Convert to fraction form
    14,674.20/21,996.90 = 7,657.80/x
  3. Step 3: Cross multiply
    14,674.20x = 21,996.90 × 7,657.80
  4. Step 4: Simplify right side
    14,674.20x = 168,447,860.82
  5. Step 5: Solve for x
    x = 168,447,860.82/14,674.20
  6. Step 6: Final answer
    x = 11,479.19

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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.