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Finding the Fourth Proportional to 17,857.72, 24,642.69 and 9,899.47

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Solution

The fourth proportional to 17,857.72, 24,642.69 and 9,899.47 is: 13,660.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,857.72 : 24,642.69 = 9,899.47 : x
  2. Step 2: Convert to fraction form
    17,857.72/24,642.69 = 9,899.47/x
  3. Step 3: Cross multiply
    17,857.72x = 24,642.69 × 9,899.47
  4. Step 4: Simplify right side
    17,857.72x = 243,949,570.37
  5. Step 5: Solve for x
    x = 243,949,570.37/17,857.72
  6. Step 6: Final answer
    x = 13,660.73

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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.