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Finding the Fourth Proportional to 12,822.72, 17,703.39 and 9,832.83

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Solution

The fourth proportional to 12,822.72, 17,703.39 and 9,832.83 is: 13,575.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,822.72 : 17,703.39 = 9,832.83 : x
  2. Step 2: Convert to fraction form
    12,822.72/17,703.39 = 9,832.83/x
  3. Step 3: Cross multiply
    12,822.72x = 17,703.39 × 9,832.83
  4. Step 4: Simplify right side
    12,822.72x = 174,074,424.29
  5. Step 5: Solve for x
    x = 174,074,424.29/12,822.72
  6. Step 6: Final answer
    x = 13,575.47

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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.