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Finding the Fourth Proportional to 14,642.69, 20,206.98 and 8,269.56

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Solution

The fourth proportional to 14,642.69, 20,206.98 and 8,269.56 is: 11,412.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,642.69 : 20,206.98 = 8,269.56 : x
  2. Step 2: Convert to fraction form
    14,642.69/20,206.98 = 8,269.56/x
  3. Step 3: Cross multiply
    14,642.69x = 20,206.98 × 8,269.56
  4. Step 4: Simplify right side
    14,642.69x = 167,102,833.53
  5. Step 5: Solve for x
    x = 167,102,833.53/14,642.69
  6. Step 6: Final answer
    x = 11,412.03

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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.