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Finding the Fourth Proportional to 13,136.70, 19,705.05 and 3,902.70

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Solution

The fourth proportional to 13,136.70, 19,705.05 and 3,902.70 is: 5,854.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,136.70 : 19,705.05 = 3,902.70 : x
  2. Step 2: Convert to fraction form
    13,136.70/19,705.05 = 3,902.70/x
  3. Step 3: Cross multiply
    13,136.70x = 19,705.05 × 3,902.70
  4. Step 4: Simplify right side
    13,136.70x = 76,902,898.64
  5. Step 5: Solve for x
    x = 76,902,898.64/13,136.70
  6. Step 6: Final answer
    x = 5,854.05

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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.