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Finding the Fourth Proportional to 13,069.69, 19,605.71 and 3,709.80

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Solution

The fourth proportional to 13,069.69, 19,605.71 and 3,709.80 is: 5,565.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,069.69 : 19,605.71 = 3,709.80 : x
  2. Step 2: Convert to fraction form
    13,069.69/19,605.71 = 3,709.80/x
  3. Step 3: Cross multiply
    13,069.69x = 19,605.71 × 3,709.80
  4. Step 4: Simplify right side
    13,069.69x = 72,733,272.23
  5. Step 5: Solve for x
    x = 72,733,272.23/13,069.69
  6. Step 6: Final answer
    x = 5,565.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.