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Finding the Fourth Proportional to 30,813.81, 42,523.05 and 17,384.94

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Solution

The fourth proportional to 30,813.81, 42,523.05 and 17,384.94 is: 23,991.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,813.81 : 42,523.05 = 17,384.94 : x
  2. Step 2: Convert to fraction form
    30,813.81/42,523.05 = 17,384.94/x
  3. Step 3: Cross multiply
    30,813.81x = 42,523.05 × 17,384.94
  4. Step 4: Simplify right side
    30,813.81x = 739,260,660.83
  5. Step 5: Solve for x
    x = 739,260,660.83/30,813.81
  6. Step 6: Final answer
    x = 23,991.21

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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.