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Finding the Fourth Proportional to 13,086.46, 19,630.86 and 4,202.71

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Solution

The fourth proportional to 13,086.46, 19,630.86 and 4,202.71 is: 6,304.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,086.46 : 19,630.86 = 4,202.71 : x
  2. Step 2: Convert to fraction form
    13,086.46/19,630.86 = 4,202.71/x
  3. Step 3: Cross multiply
    13,086.46x = 19,630.86 × 4,202.71
  4. Step 4: Simplify right side
    13,086.46x = 82,502,811.63
  5. Step 5: Solve for x
    x = 82,502,811.63/13,086.46
  6. Step 6: Final answer
    x = 6,304.44

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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.