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Finding the Fourth Proportional to 17,851.89, 24,635.29 and 9,785.48

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Solution

The fourth proportional to 17,851.89, 24,635.29 and 9,785.48 is: 13,503.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,851.89 : 24,635.29 = 9,785.48 : x
  2. Step 2: Convert to fraction form
    17,851.89/24,635.29 = 9,785.48/x
  3. Step 3: Cross multiply
    17,851.89x = 24,635.29 × 9,785.48
  4. Step 4: Simplify right side
    17,851.89x = 241,068,137.59
  5. Step 5: Solve for x
    x = 241,068,137.59/17,851.89
  6. Step 6: Final answer
    x = 13,503.79

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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.