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Finding the Fourth Proportional to 23,227.98, 32,054.64 and 12,617.61

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Solution

The fourth proportional to 23,227.98, 32,054.64 and 12,617.61 is: 17,412.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,227.98 : 32,054.64 = 12,617.61 : x
  2. Step 2: Convert to fraction form
    23,227.98/32,054.64 = 12,617.61/x
  3. Step 3: Cross multiply
    23,227.98x = 32,054.64 × 12,617.61
  4. Step 4: Simplify right side
    23,227.98x = 404,452,946.21
  5. Step 5: Solve for x
    x = 404,452,946.21/23,227.98
  6. Step 6: Final answer
    x = 17,412.32

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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.