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Finding the Fourth Proportional to 17,408.72, 24,005.85 and 10,333.78

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Solution

The fourth proportional to 17,408.72, 24,005.85 and 10,333.78 is: 14,249.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,408.72 : 24,005.85 = 10,333.78 : x
  2. Step 2: Convert to fraction form
    17,408.72/24,005.85 = 10,333.78/x
  3. Step 3: Cross multiply
    17,408.72x = 24,005.85 × 10,333.78
  4. Step 4: Simplify right side
    17,408.72x = 248,071,172.61
  5. Step 5: Solve for x
    x = 248,071,172.61/17,408.72
  6. Step 6: Final answer
    x = 14,249.82

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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.