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Finding the Fourth Proportional to 14,383.23, 19,842.45 and 8,412.27

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Solution

The fourth proportional to 14,383.23, 19,842.45 and 8,412.27 is: 11,605.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,383.23 : 19,842.45 = 8,412.27 : x
  2. Step 2: Convert to fraction form
    14,383.23/19,842.45 = 8,412.27/x
  3. Step 3: Cross multiply
    14,383.23x = 19,842.45 × 8,412.27
  4. Step 4: Simplify right side
    14,383.23x = 166,920,046.86
  5. Step 5: Solve for x
    x = 166,920,046.86/14,383.23
  6. Step 6: Final answer
    x = 11,605.19

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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.