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Finding the Fourth Proportional to 13,772.36, 20,658.76 and 7,211.36

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Solution

The fourth proportional to 13,772.36, 20,658.76 and 7,211.36 is: 10,817.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772.36 : 20,658.76 = 7,211.36 : x
  2. Step 2: Convert to fraction form
    13,772.36/20,658.76 = 7,211.36/x
  3. Step 3: Cross multiply
    13,772.36x = 20,658.76 × 7,211.36
  4. Step 4: Simplify right side
    13,772.36x = 148,977,755.51
  5. Step 5: Solve for x
    x = 148,977,755.51/13,772.36
  6. Step 6: Final answer
    x = 10,817.16

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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.