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Finding the Fourth Proportional to 14,174.01, 21,265.65 and 6,777.54

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Solution

The fourth proportional to 14,174.01, 21,265.65 and 6,777.54 is: 10,168.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,174.01 : 21,265.65 = 6,777.54 : x
  2. Step 2: Convert to fraction form
    14,174.01/21,265.65 = 6,777.54/x
  3. Step 3: Cross multiply
    14,174.01x = 21,265.65 × 6,777.54
  4. Step 4: Simplify right side
    14,174.01x = 144,128,793.50
  5. Step 5: Solve for x
    x = 144,128,793.50/14,174.01
  6. Step 6: Final answer
    x = 10,168.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.