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Finding the Fourth Proportional to 17,744.70, 24,490.83 and 10,671.60

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Solution

The fourth proportional to 17,744.70, 24,490.83 and 10,671.60 is: 14,728.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,744.70 : 24,490.83 = 10,671.60 : x
  2. Step 2: Convert to fraction form
    17,744.70/24,490.83 = 10,671.60/x
  3. Step 3: Cross multiply
    17,744.70x = 24,490.83 × 10,671.60
  4. Step 4: Simplify right side
    17,744.70x = 261,356,341.43
  5. Step 5: Solve for x
    x = 261,356,341.43/17,744.70
  6. Step 6: Final answer
    x = 14,728.70

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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.