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Finding the Fourth Proportional to 14,174.96, 19,559.67 and 8,206.52

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Solution

The fourth proportional to 14,174.96, 19,559.67 and 8,206.52 is: 11,323.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,174.96 : 19,559.67 = 8,206.52 : x
  2. Step 2: Convert to fraction form
    14,174.96/19,559.67 = 8,206.52/x
  3. Step 3: Cross multiply
    14,174.96x = 19,559.67 × 8,206.52
  4. Step 4: Simplify right side
    14,174.96x = 160,516,823.05
  5. Step 5: Solve for x
    x = 160,516,823.05/14,174.96
  6. Step 6: Final answer
    x = 11,323.97

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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.