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Finding the Fourth Proportional to 13,136.94, 19,705.37 and 3,902.94

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Solution

The fourth proportional to 13,136.94, 19,705.37 and 3,902.94 is: 5,854.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,136.94 : 19,705.37 = 3,902.94 : x
  2. Step 2: Convert to fraction form
    13,136.94/19,705.37 = 3,902.94/x
  3. Step 3: Cross multiply
    13,136.94x = 19,705.37 × 3,902.94
  4. Step 4: Simplify right side
    13,136.94x = 76,908,857.27
  5. Step 5: Solve for x
    x = 76,908,857.27/13,136.94
  6. Step 6: Final answer
    x = 5,854.40

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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.