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Finding the Fourth Proportional to 24,692.99, 37,035.61 and 8,052.93

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Solution

The fourth proportional to 24,692.99, 37,035.61 and 8,052.93 is: 12,078.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,692.99 : 37,035.61 = 8,052.93 : x
  2. Step 2: Convert to fraction form
    24,692.99/37,035.61 = 8,052.93/x
  3. Step 3: Cross multiply
    24,692.99x = 37,035.61 × 8,052.93
  4. Step 4: Simplify right side
    24,692.99x = 298,245,154.70
  5. Step 5: Solve for x
    x = 298,245,154.70/24,692.99
  6. Step 6: Final answer
    x = 12,078.13

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Why These Related Problems?

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