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Finding the Fourth Proportional to 13,670.40, 20,505.60 and 3,282.15

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Solution

The fourth proportional to 13,670.40, 20,505.60 and 3,282.15 is: 4,923.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,670.40 : 20,505.60 = 3,282.15 : x
  2. Step 2: Convert to fraction form
    13,670.40/20,505.60 = 3,282.15/x
  3. Step 3: Cross multiply
    13,670.40x = 20,505.60 × 3,282.15
  4. Step 4: Simplify right side
    13,670.40x = 67,302,455.04
  5. Step 5: Solve for x
    x = 67,302,455.04/13,670.40
  6. Step 6: Final answer
    x = 4,923.23

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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.