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Finding the Fourth Proportional to 13,817.26, 19,067.96 and 7,529.63

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Solution

The fourth proportional to 13,817.26, 19,067.96 and 7,529.63 is: 10,390.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,817.26 : 19,067.96 = 7,529.63 : x
  2. Step 2: Convert to fraction form
    13,817.26/19,067.96 = 7,529.63/x
  3. Step 3: Cross multiply
    13,817.26x = 19,067.96 × 7,529.63
  4. Step 4: Simplify right side
    13,817.26x = 143,574,683.65
  5. Step 5: Solve for x
    x = 143,574,683.65/13,817.26
  6. Step 6: Final answer
    x = 10,390.97

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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.