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Finding the Fourth Proportional to 23,227.74, 32,054.40 and 12,617.40

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Solution

The fourth proportional to 23,227.74, 32,054.40 and 12,617.40 is: 17,412.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,227.74 : 32,054.40 = 12,617.40 : x
  2. Step 2: Convert to fraction form
    23,227.74/32,054.40 = 12,617.40/x
  3. Step 3: Cross multiply
    23,227.74x = 32,054.40 × 12,617.40
  4. Step 4: Simplify right side
    23,227.74x = 404,443,186.56
  5. Step 5: Solve for x
    x = 404,443,186.56/23,227.74
  6. Step 6: Final answer
    x = 17,412.08

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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.