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Finding the Fourth Proportional to 14,035.69, 19,369.88 and 8,069.23

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Solution

The fourth proportional to 14,035.69, 19,369.88 and 8,069.23 is: 11,135.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,035.69 : 19,369.88 = 8,069.23 : x
  2. Step 2: Convert to fraction form
    14,035.69/19,369.88 = 8,069.23/x
  3. Step 3: Cross multiply
    14,035.69x = 19,369.88 × 8,069.23
  4. Step 4: Simplify right side
    14,035.69x = 156,300,016.79
  5. Step 5: Solve for x
    x = 156,300,016.79/14,035.69
  6. Step 6: Final answer
    x = 11,135.90

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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.