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Finding the Fourth Proportional to 17,850.12, 24,633.13 and 9,783.97

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Solution

The fourth proportional to 17,850.12, 24,633.13 and 9,783.97 is: 13,501.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,850.12 : 24,633.13 = 9,783.97 : x
  2. Step 2: Convert to fraction form
    17,850.12/24,633.13 = 9,783.97/x
  3. Step 3: Cross multiply
    17,850.12x = 24,633.13 × 9,783.97
  4. Step 4: Simplify right side
    17,850.12x = 241,009,804.93
  5. Step 5: Solve for x
    x = 241,009,804.93/17,850.12
  6. Step 6: Final answer
    x = 13,501.86

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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.