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Finding the Fourth Proportional to 13,491.71, 20,223.92 and 5,583.30

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Solution

The fourth proportional to 13,491.71, 20,223.92 and 5,583.30 is: 8,369.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,491.71 : 20,223.92 = 5,583.30 : x
  2. Step 2: Convert to fraction form
    13,491.71/20,223.92 = 5,583.30/x
  3. Step 3: Cross multiply
    13,491.71x = 20,223.92 × 5,583.30
  4. Step 4: Simplify right side
    13,491.71x = 112,916,083.50
  5. Step 5: Solve for x
    x = 112,916,083.50/13,491.71
  6. Step 6: Final answer
    x = 8,369.30

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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.