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Finding the Fourth Proportional to 13,376.81, 20,066.17 and 4,611.60

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Solution

The fourth proportional to 13,376.81, 20,066.17 and 4,611.60 is: 6,917.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,376.81 : 20,066.17 = 4,611.60 : x
  2. Step 2: Convert to fraction form
    13,376.81/20,066.17 = 4,611.60/x
  3. Step 3: Cross multiply
    13,376.81x = 20,066.17 × 4,611.60
  4. Step 4: Simplify right side
    13,376.81x = 92,537,049.24
  5. Step 5: Solve for x
    x = 92,537,049.24/13,376.81
  6. Step 6: Final answer
    x = 6,917.72

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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.