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Finding the Fourth Proportional to 17,750.43, 24,494.31 and 9,792.50

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Solution

The fourth proportional to 17,750.43, 24,494.31 and 9,792.50 is: 13,512.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,750.43 : 24,494.31 = 9,792.50 : x
  2. Step 2: Convert to fraction form
    17,750.43/24,494.31 = 9,792.50/x
  3. Step 3: Cross multiply
    17,750.43x = 24,494.31 × 9,792.50
  4. Step 4: Simplify right side
    17,750.43x = 239,860,408.20
  5. Step 5: Solve for x
    x = 239,860,408.20/17,750.43
  6. Step 6: Final answer
    x = 13,512.94

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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.