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Finding the Fourth Proportional to 14,816.21, 20,448.14 and 8,529.80

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Solution

The fourth proportional to 14,816.21, 20,448.14 and 8,529.80 is: 11,772.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,816.21 : 20,448.14 = 8,529.80 : x
  2. Step 2: Convert to fraction form
    14,816.21/20,448.14 = 8,529.80/x
  3. Step 3: Cross multiply
    14,816.21x = 20,448.14 × 8,529.80
  4. Step 4: Simplify right side
    14,816.21x = 174,418,399.68
  5. Step 5: Solve for x
    x = 174,418,399.68/14,816.21
  6. Step 6: Final answer
    x = 11,772.14

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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.