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Finding the Fourth Proportional to 10,023.69, 13,832.73 and 6,044.97

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Solution

The fourth proportional to 10,023.69, 13,832.73 and 6,044.97 is: 8,342.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,023.69 : 13,832.73 = 6,044.97 : x
  2. Step 2: Convert to fraction form
    10,023.69/13,832.73 = 6,044.97/x
  3. Step 3: Cross multiply
    10,023.69x = 13,832.73 × 6,044.97
  4. Step 4: Simplify right side
    10,023.69x = 83,618,407.64
  5. Step 5: Solve for x
    x = 83,618,407.64/10,023.69
  6. Step 6: Final answer
    x = 8,342.08

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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.