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Finding the Fourth Proportional to 14,655.68, 20,224.65 and 8,282.27

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Solution

The fourth proportional to 14,655.68, 20,224.65 and 8,282.27 is: 11,429.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,655.68 : 20,224.65 = 8,282.27 : x
  2. Step 2: Convert to fraction form
    14,655.68/20,224.65 = 8,282.27/x
  3. Step 3: Cross multiply
    14,655.68x = 20,224.65 × 8,282.27
  4. Step 4: Simplify right side
    14,655.68x = 167,505,979.81
  5. Step 5: Solve for x
    x = 167,505,979.81/14,655.68
  6. Step 6: Final answer
    x = 11,429.42

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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.