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Finding the Fourth Proportional to 17,971.54, 24,800.89 and 9,905.48

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Solution

The fourth proportional to 17,971.54, 24,800.89 and 9,905.48 is: 13,669.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,971.54 : 24,800.89 = 9,905.48 : x
  2. Step 2: Convert to fraction form
    17,971.54/24,800.89 = 9,905.48/x
  3. Step 3: Cross multiply
    17,971.54x = 24,800.89 × 9,905.48
  4. Step 4: Simplify right side
    17,971.54x = 245,664,757.12
  5. Step 5: Solve for x
    x = 245,664,757.12/17,971.54
  6. Step 6: Final answer
    x = 13,669.66

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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.