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Finding the Fourth Proportional to 17,787.89, 24,546.48 and 9,829.94

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Solution

The fourth proportional to 17,787.89, 24,546.48 and 9,829.94 is: 13,564.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,787.89 : 24,546.48 = 9,829.94 : x
  2. Step 2: Convert to fraction form
    17,787.89/24,546.48 = 9,829.94/x
  3. Step 3: Cross multiply
    17,787.89x = 24,546.48 × 9,829.94
  4. Step 4: Simplify right side
    17,787.89x = 241,290,425.61
  5. Step 5: Solve for x
    x = 241,290,425.61/17,787.89
  6. Step 6: Final answer
    x = 13,564.87

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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.