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Finding the Fourth Proportional to 30,821.60, 46,232.40 and 16,997.60

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Solution

The fourth proportional to 30,821.60, 46,232.40 and 16,997.60 is: 25,496.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,821.60 : 46,232.40 = 16,997.60 : x
  2. Step 2: Convert to fraction form
    30,821.60/46,232.40 = 16,997.60/x
  3. Step 3: Cross multiply
    30,821.60x = 46,232.40 × 16,997.60
  4. Step 4: Simplify right side
    30,821.60x = 785,839,842.24
  5. Step 5: Solve for x
    x = 785,839,842.24/30,821.60
  6. Step 6: Final answer
    x = 25,496.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.