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Finding the Fourth Proportional to 14,213.85, 19,615.07 and 8,249.01

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Solution

The fourth proportional to 14,213.85, 19,615.07 and 8,249.01 is: 11,383.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,213.85 : 19,615.07 = 8,249.01 : x
  2. Step 2: Convert to fraction form
    14,213.85/19,615.07 = 8,249.01/x
  3. Step 3: Cross multiply
    14,213.85x = 19,615.07 × 8,249.01
  4. Step 4: Simplify right side
    14,213.85x = 161,804,867.34
  5. Step 5: Solve for x
    x = 161,804,867.34/14,213.85
  6. Step 6: Final answer
    x = 11,383.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.