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Finding the Fourth Proportional to 17,805.19, 24,563.74 and 10,249.71

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Solution

The fourth proportional to 17,805.19, 24,563.74 and 10,249.71 is: 14,140.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,805.19 : 24,563.74 = 10,249.71 : x
  2. Step 2: Convert to fraction form
    17,805.19/24,563.74 = 10,249.71/x
  3. Step 3: Cross multiply
    17,805.19x = 24,563.74 × 10,249.71
  4. Step 4: Simplify right side
    17,805.19x = 251,771,160.27
  5. Step 5: Solve for x
    x = 251,771,160.27/17,805.19
  6. Step 6: Final answer
    x = 14,140.32

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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.