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Finding the Fourth Proportional to 17,408.49, 24,022.74 and 10,142.79

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Solution

The fourth proportional to 17,408.49, 24,022.74 and 10,142.79 is: 13,996.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,408.49 : 24,022.74 = 10,142.79 : x
  2. Step 2: Convert to fraction form
    17,408.49/24,022.74 = 10,142.79/x
  3. Step 3: Cross multiply
    17,408.49x = 24,022.74 × 10,142.79
  4. Step 4: Simplify right side
    17,408.49x = 243,657,607.04
  5. Step 5: Solve for x
    x = 243,657,607.04/17,408.49
  6. Step 6: Final answer
    x = 13,996.48

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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.