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Finding the Fourth Proportional to 13,002.17, 19,535.34 and 8,324.21

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Solution

The fourth proportional to 13,002.17, 19,535.34 and 8,324.21 is: 12,506.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,002.17 : 19,535.34 = 8,324.21 : x
  2. Step 2: Convert to fraction form
    13,002.17/19,535.34 = 8,324.21/x
  3. Step 3: Cross multiply
    13,002.17x = 19,535.34 × 8,324.21
  4. Step 4: Simplify right side
    13,002.17x = 162,616,174.90
  5. Step 5: Solve for x
    x = 162,616,174.90/13,002.17
  6. Step 6: Final answer
    x = 12,506.85

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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.