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Finding the Fourth Proportional to 17,662.49, 24,374.16 and 10,108.78

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Solution

The fourth proportional to 17,662.49, 24,374.16 and 10,108.78 is: 13,950.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,662.49 : 24,374.16 = 10,108.78 : x
  2. Step 2: Convert to fraction form
    17,662.49/24,374.16 = 10,108.78/x
  3. Step 3: Cross multiply
    17,662.49x = 24,374.16 × 10,108.78
  4. Step 4: Simplify right side
    17,662.49x = 246,393,021.12
  5. Step 5: Solve for x
    x = 246,393,021.12/17,662.49
  6. Step 6: Final answer
    x = 13,950.07

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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.