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Finding the Fourth Proportional to 13,138.14, 19,710.02 and 3,778.07

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Solution

The fourth proportional to 13,138.14, 19,710.02 and 3,778.07 is: 5,667.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,138.14 : 19,710.02 = 3,778.07 : x
  2. Step 2: Convert to fraction form
    13,138.14/19,710.02 = 3,778.07/x
  3. Step 3: Cross multiply
    13,138.14x = 19,710.02 × 3,778.07
  4. Step 4: Simplify right side
    13,138.14x = 74,465,835.26
  5. Step 5: Solve for x
    x = 74,465,835.26/13,138.14
  6. Step 6: Final answer
    x = 5,667.91

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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.