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Finding the Fourth Proportional to 13,827, 19,082.70 and 8,521.68

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Solution

The fourth proportional to 13,827, 19,082.70 and 8,521.68 is: 11,760.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,827 : 19,082.70 = 8,521.68 : x
  2. Step 2: Convert to fraction form
    13,827/19,082.70 = 8,521.68/x
  3. Step 3: Cross multiply
    13,827x = 19,082.70 × 8,521.68
  4. Step 4: Simplify right side
    13,827x = 162,616,662.94
  5. Step 5: Solve for x
    x = 162,616,662.94/13,827
  6. Step 6: Final answer
    x = 11,760.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.