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Finding the Fourth Proportional to 24,500.80, 36,754.44 and 7,855.30

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Solution

The fourth proportional to 24,500.80, 36,754.44 and 7,855.30 is: 11,783.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,500.80 : 36,754.44 = 7,855.30 : x
  2. Step 2: Convert to fraction form
    24,500.80/36,754.44 = 7,855.30/x
  3. Step 3: Cross multiply
    24,500.80x = 36,754.44 × 7,855.30
  4. Step 4: Simplify right side
    24,500.80x = 288,717,152.53
  5. Step 5: Solve for x
    x = 288,717,152.53/24,500.80
  6. Step 6: Final answer
    x = 11,783.99

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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.