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Finding the Fourth Proportional to 14,009.34, 21,014.22 and 4,149.62

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Solution

The fourth proportional to 14,009.34, 21,014.22 and 4,149.62 is: 6,224.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,009.34 : 21,014.22 = 4,149.62 : x
  2. Step 2: Convert to fraction form
    14,009.34/21,014.22 = 4,149.62/x
  3. Step 3: Cross multiply
    14,009.34x = 21,014.22 × 4,149.62
  4. Step 4: Simplify right side
    14,009.34x = 87,201,027.60
  5. Step 5: Solve for x
    x = 87,201,027.60/14,009.34
  6. Step 6: Final answer
    x = 6,224.49

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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.