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Finding the Fourth Proportional to 17,524.40, 24,181.54 and 9,971.69

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Solution

The fourth proportional to 17,524.40, 24,181.54 and 9,971.69 is: 13,759.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,524.40 : 24,181.54 = 9,971.69 : x
  2. Step 2: Convert to fraction form
    17,524.40/24,181.54 = 9,971.69/x
  3. Step 3: Cross multiply
    17,524.40x = 24,181.54 × 9,971.69
  4. Step 4: Simplify right side
    17,524.40x = 241,130,674.77
  5. Step 5: Solve for x
    x = 241,130,674.77/17,524.40
  6. Step 6: Final answer
    x = 13,759.71

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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.