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Finding the Fourth Proportional to 14,614.68, 21,918.60 and 5,847.24

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Solution

The fourth proportional to 14,614.68, 21,918.60 and 5,847.24 is: 8,769.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,614.68 : 21,918.60 = 5,847.24 : x
  2. Step 2: Convert to fraction form
    14,614.68/21,918.60 = 5,847.24/x
  3. Step 3: Cross multiply
    14,614.68x = 21,918.60 × 5,847.24
  4. Step 4: Simplify right side
    14,614.68x = 128,163,314.66
  5. Step 5: Solve for x
    x = 128,163,314.66/14,614.68
  6. Step 6: Final answer
    x = 8,769.49

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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.