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Finding the Fourth Proportional to 13,644.87, 18,832.22 and 7,901.49

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Solution

The fourth proportional to 13,644.87, 18,832.22 and 7,901.49 is: 10,905.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,644.87 : 18,832.22 = 7,901.49 : x
  2. Step 2: Convert to fraction form
    13,644.87/18,832.22 = 7,901.49/x
  3. Step 3: Cross multiply
    13,644.87x = 18,832.22 × 7,901.49
  4. Step 4: Simplify right side
    13,644.87x = 148,802,598.01
  5. Step 5: Solve for x
    x = 148,802,598.01/13,644.87
  6. Step 6: Final answer
    x = 10,905.39

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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.