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Finding the Fourth Proportional to 13,002.82, 19,502.20 and 4,237.68

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Solution

The fourth proportional to 13,002.82, 19,502.20 and 4,237.68 is: 6,355.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,002.82 : 19,502.20 = 4,237.68 : x
  2. Step 2: Convert to fraction form
    13,002.82/19,502.20 = 4,237.68/x
  3. Step 3: Cross multiply
    13,002.82x = 19,502.20 × 4,237.68
  4. Step 4: Simplify right side
    13,002.82x = 82,644,082.90
  5. Step 5: Solve for x
    x = 82,644,082.90/13,002.82
  6. Step 6: Final answer
    x = 6,355.86

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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.