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Finding the Fourth Proportional to 25,331.40, 37,997.10 and 16,000.20

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Solution

The fourth proportional to 25,331.40, 37,997.10 and 16,000.20 is: 24,000.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,331.40 : 37,997.10 = 16,000.20 : x
  2. Step 2: Convert to fraction form
    25,331.40/37,997.10 = 16,000.20/x
  3. Step 3: Cross multiply
    25,331.40x = 37,997.10 × 16,000.20
  4. Step 4: Simplify right side
    25,331.40x = 607,961,199.42
  5. Step 5: Solve for x
    x = 607,961,199.42/25,331.40
  6. Step 6: Final answer
    x = 24,000.30

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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.