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Finding the Fourth Proportional to 13,772.34, 20,664 and 5,007.96

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Solution

The fourth proportional to 13,772.34, 20,664 and 5,007.96 is: 7,513.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772.34 : 20,664 = 5,007.96 : x
  2. Step 2: Convert to fraction form
    13,772.34/20,664 = 5,007.96/x
  3. Step 3: Cross multiply
    13,772.34x = 20,664 × 5,007.96
  4. Step 4: Simplify right side
    13,772.34x = 103,484,485.44
  5. Step 5: Solve for x
    x = 103,484,485.44/13,772.34
  6. Step 6: Final answer
    x = 7,513.94

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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.