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Finding the Fourth Proportional to 24,433.98, 36,656.94 and 7,794.02

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Solution

The fourth proportional to 24,433.98, 36,656.94 and 7,794.02 is: 11,692.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,433.98 : 36,656.94 = 7,794.02 : x
  2. Step 2: Convert to fraction form
    24,433.98/36,656.94 = 7,794.02/x
  3. Step 3: Cross multiply
    24,433.98x = 36,656.94 × 7,794.02
  4. Step 4: Simplify right side
    24,433.98x = 285,704,740.21
  5. Step 5: Solve for x
    x = 285,704,740.21/24,433.98
  6. Step 6: Final answer
    x = 11,692.93

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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.