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Finding the Fourth Proportional to 13,670.70, 20,506.05 and 3,282.45

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Solution

The fourth proportional to 13,670.70, 20,506.05 and 3,282.45 is: 4,923.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,670.70 : 20,506.05 = 3,282.45 : x
  2. Step 2: Convert to fraction form
    13,670.70/20,506.05 = 3,282.45/x
  3. Step 3: Cross multiply
    13,670.70x = 20,506.05 × 3,282.45
  4. Step 4: Simplify right side
    13,670.70x = 67,310,083.82
  5. Step 5: Solve for x
    x = 67,310,083.82/13,670.70
  6. Step 6: Final answer
    x = 4,923.68

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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.