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Finding the Fourth Proportional to 14,213.30, 21,305.36 and 7,171.98

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Solution

The fourth proportional to 14,213.30, 21,305.36 and 7,171.98 is: 10,750.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,213.30 : 21,305.36 = 7,171.98 : x
  2. Step 2: Convert to fraction form
    14,213.30/21,305.36 = 7,171.98/x
  3. Step 3: Cross multiply
    14,213.30x = 21,305.36 × 7,171.98
  4. Step 4: Simplify right side
    14,213.30x = 152,801,615.81
  5. Step 5: Solve for x
    x = 152,801,615.81/14,213.30
  6. Step 6: Final answer
    x = 10,750.61

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