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Finding the Fourth Proportional to 13,644.40, 18,818.04 and 8,050

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Solution

The fourth proportional to 13,644.40, 18,818.04 and 8,050 is: 11,102.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,644.40 : 18,818.04 = 8,050 : x
  2. Step 2: Convert to fraction form
    13,644.40/18,818.04 = 8,050/x
  3. Step 3: Cross multiply
    13,644.40x = 18,818.04 × 8,050
  4. Step 4: Simplify right side
    13,644.40x = 151,485,222
  5. Step 5: Solve for x
    x = 151,485,222/13,644.40
  6. Step 6: Final answer
    x = 11,102.37

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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.