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Finding the Fourth Proportional to 23,456.64, 32,370.25 and 12,846.18

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Solution

The fourth proportional to 23,456.64, 32,370.25 and 12,846.18 is: 17,727.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,456.64 : 32,370.25 = 12,846.18 : x
  2. Step 2: Convert to fraction form
    23,456.64/32,370.25 = 12,846.18/x
  3. Step 3: Cross multiply
    23,456.64x = 32,370.25 × 12,846.18
  4. Step 4: Simplify right side
    23,456.64x = 415,834,058.15
  5. Step 5: Solve for x
    x = 415,834,058.15/23,456.64
  6. Step 6: Final answer
    x = 17,727.78

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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.