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Finding the Fourth Proportional to 23,456.65, 32,369.84 and 12,846.28

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Solution

The fourth proportional to 23,456.65, 32,369.84 and 12,846.28 is: 17,727.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,456.65 : 32,369.84 = 12,846.28 : x
  2. Step 2: Convert to fraction form
    23,456.65/32,369.84 = 12,846.28/x
  3. Step 3: Cross multiply
    23,456.65x = 32,369.84 × 12,846.28
  4. Step 4: Simplify right side
    23,456.65x = 415,831,866.35
  5. Step 5: Solve for x
    x = 415,831,866.35/23,456.65
  6. Step 6: Final answer
    x = 17,727.68

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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.