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Finding the Fourth Proportional to 13,066.72, 19,601 and 4,301.71

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Solution

The fourth proportional to 13,066.72, 19,601 and 4,301.71 is: 6,452.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,066.72 : 19,601 = 4,301.71 : x
  2. Step 2: Convert to fraction form
    13,066.72/19,601 = 4,301.71/x
  3. Step 3: Cross multiply
    13,066.72x = 19,601 × 4,301.71
  4. Step 4: Simplify right side
    13,066.72x = 84,317,817.71
  5. Step 5: Solve for x
    x = 84,317,817.71/13,066.72
  6. Step 6: Final answer
    x = 6,452.87

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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.