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Finding the Fourth Proportional to 13,690.15, 20,569.82 and 13,136.56

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Solution

The fourth proportional to 13,690.15, 20,569.82 and 13,136.56 is: 19,738.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,690.15 : 20,569.82 = 13,136.56 : x
  2. Step 2: Convert to fraction form
    13,690.15/20,569.82 = 13,136.56/x
  3. Step 3: Cross multiply
    13,690.15x = 20,569.82 × 13,136.56
  4. Step 4: Simplify right side
    13,690.15x = 270,216,557.51
  5. Step 5: Solve for x
    x = 270,216,557.51/13,690.15
  6. Step 6: Final answer
    x = 19,738.03

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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.