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Finding the Fourth Proportional to 14,383.14, 19,846.42 and 8,009.66

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Solution

The fourth proportional to 14,383.14, 19,846.42 and 8,009.66 is: 11,052.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,383.14 : 19,846.42 = 8,009.66 : x
  2. Step 2: Convert to fraction form
    14,383.14/19,846.42 = 8,009.66/x
  3. Step 3: Cross multiply
    14,383.14x = 19,846.42 × 8,009.66
  4. Step 4: Simplify right side
    14,383.14x = 158,962,937.14
  5. Step 5: Solve for x
    x = 158,962,937.14/14,383.14
  6. Step 6: Final answer
    x = 11,052.03

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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.