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Finding the Fourth Proportional to 13,138.92, 19,705.40 and 3,778.92

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Solution

The fourth proportional to 13,138.92, 19,705.40 and 3,778.92 is: 5,667.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,138.92 : 19,705.40 = 3,778.92 : x
  2. Step 2: Convert to fraction form
    13,138.92/19,705.40 = 3,778.92/x
  3. Step 3: Cross multiply
    13,138.92x = 19,705.40 × 3,778.92
  4. Step 4: Simplify right side
    13,138.92x = 74,465,130.17
  5. Step 5: Solve for x
    x = 74,465,130.17/13,138.92
  6. Step 6: Final answer
    x = 5,667.52

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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.