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Finding the Fourth Proportional to 17,857.84, 24,642.15 and 9,899.39

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Solution

The fourth proportional to 17,857.84, 24,642.15 and 9,899.39 is: 13,660.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,857.84 : 24,642.15 = 9,899.39 : x
  2. Step 2: Convert to fraction form
    17,857.84/24,642.15 = 9,899.39/x
  3. Step 3: Cross multiply
    17,857.84x = 24,642.15 × 9,899.39
  4. Step 4: Simplify right side
    17,857.84x = 243,942,253.29
  5. Step 5: Solve for x
    x = 243,942,253.29/17,857.84
  6. Step 6: Final answer
    x = 13,660.23

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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.