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Finding the Fourth Proportional to 14,642.71, 20,202.72 and 8,268.99

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Solution

The fourth proportional to 14,642.71, 20,202.72 and 8,268.99 is: 11,408.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,642.71 : 20,202.72 = 8,268.99 : x
  2. Step 2: Convert to fraction form
    14,642.71/20,202.72 = 8,268.99/x
  3. Step 3: Cross multiply
    14,642.71x = 20,202.72 × 8,268.99
  4. Step 4: Simplify right side
    14,642.71x = 167,056,089.65
  5. Step 5: Solve for x
    x = 167,056,089.65/14,642.71
  6. Step 6: Final answer
    x = 11,408.82

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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.