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Finding the Fourth Proportional to 13,965.72, 20,930.72 and 6,553.80

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Solution

The fourth proportional to 13,965.72, 20,930.72 and 6,553.80 is: 9,822.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,965.72 : 20,930.72 = 6,553.80 : x
  2. Step 2: Convert to fraction form
    13,965.72/20,930.72 = 6,553.80/x
  3. Step 3: Cross multiply
    13,965.72x = 20,930.72 × 6,553.80
  4. Step 4: Simplify right side
    13,965.72x = 137,175,752.74
  5. Step 5: Solve for x
    x = 137,175,752.74/13,965.72
  6. Step 6: Final answer
    x = 9,822.32

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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.