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Finding the Fourth Proportional to 24,792.72, 37,194.60 and 11,638.08

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Solution

The fourth proportional to 24,792.72, 37,194.60 and 11,638.08 is: 17,459.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,792.72 : 37,194.60 = 11,638.08 : x
  2. Step 2: Convert to fraction form
    24,792.72/37,194.60 = 11,638.08/x
  3. Step 3: Cross multiply
    24,792.72x = 37,194.60 × 11,638.08
  4. Step 4: Simplify right side
    24,792.72x = 432,873,730.37
  5. Step 5: Solve for x
    x = 432,873,730.37/24,792.72
  6. Step 6: Final answer
    x = 17,459.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.