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Finding the Fourth Proportional to 20,505.50, 28,297.69 and 11,553.14

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Solution

The fourth proportional to 20,505.50, 28,297.69 and 11,553.14 is: 15,943.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,505.50 : 28,297.69 = 11,553.14 : x
  2. Step 2: Convert to fraction form
    20,505.50/28,297.69 = 11,553.14/x
  3. Step 3: Cross multiply
    20,505.50x = 28,297.69 × 11,553.14
  4. Step 4: Simplify right side
    20,505.50x = 326,927,216.11
  5. Step 5: Solve for x
    x = 326,927,216.11/20,505.50
  6. Step 6: Final answer
    x = 15,943.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.