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Finding the Fourth Proportional to 17,781.69, 24,540.45 and 9,824.46

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Solution

The fourth proportional to 17,781.69, 24,540.45 and 9,824.46 is: 13,558.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,781.69 : 24,540.45 = 9,824.46 : x
  2. Step 2: Convert to fraction form
    17,781.69/24,540.45 = 9,824.46/x
  3. Step 3: Cross multiply
    17,781.69x = 24,540.45 × 9,824.46
  4. Step 4: Simplify right side
    17,781.69x = 241,096,669.41
  5. Step 5: Solve for x
    x = 241,096,669.41/17,781.69
  6. Step 6: Final answer
    x = 13,558.70

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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.