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Finding the Fourth Proportional to 17,676.81, 24,393.99 and 10,123.36

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Solution

The fourth proportional to 17,676.81, 24,393.99 and 10,123.36 is: 13,970.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,676.81 : 24,393.99 = 10,123.36 : x
  2. Step 2: Convert to fraction form
    17,676.81/24,393.99 = 10,123.36/x
  3. Step 3: Cross multiply
    17,676.81x = 24,393.99 × 10,123.36
  4. Step 4: Simplify right side
    17,676.81x = 246,949,142.61
  5. Step 5: Solve for x
    x = 246,949,142.61/17,676.81
  6. Step 6: Final answer
    x = 13,970.23

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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.