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Finding the Fourth Proportional to 13,138.41, 19,712.27 and 8,202.34

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Solution

The fourth proportional to 13,138.41, 19,712.27 and 8,202.34 is: 12,306.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,138.41 : 19,712.27 = 8,202.34 : x
  2. Step 2: Convert to fraction form
    13,138.41/19,712.27 = 8,202.34/x
  3. Step 3: Cross multiply
    13,138.41x = 19,712.27 × 8,202.34
  4. Step 4: Simplify right side
    13,138.41x = 161,686,740.71
  5. Step 5: Solve for x
    x = 161,686,740.71/13,138.41
  6. Step 6: Final answer
    x = 12,306.42

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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.