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Finding the Fourth Proportional to 17,805.09, 24,570.90 and 9,847.02

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Solution

The fourth proportional to 17,805.09, 24,570.90 and 9,847.02 is: 13,588.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,805.09 : 24,570.90 = 9,847.02 : x
  2. Step 2: Convert to fraction form
    17,805.09/24,570.90 = 9,847.02/x
  3. Step 3: Cross multiply
    17,805.09x = 24,570.90 × 9,847.02
  4. Step 4: Simplify right side
    17,805.09x = 241,950,143.72
  5. Step 5: Solve for x
    x = 241,950,143.72/17,805.09
  6. Step 6: Final answer
    x = 13,588.82

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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.