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Finding the Fourth Proportional to 13,870.17, 19,136.64 and 8,205.57

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Solution

The fourth proportional to 13,870.17, 19,136.64 and 8,205.57 is: 11,321.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,870.17 : 19,136.64 = 8,205.57 : x
  2. Step 2: Convert to fraction form
    13,870.17/19,136.64 = 8,205.57/x
  3. Step 3: Cross multiply
    13,870.17x = 19,136.64 × 8,205.57
  4. Step 4: Simplify right side
    13,870.17x = 157,027,039.08
  5. Step 5: Solve for x
    x = 157,027,039.08/13,870.17
  6. Step 6: Final answer
    x = 11,321.21

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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.