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Finding the Fourth Proportional to 24,692.20, 37,030.20 and 9,107.80

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Solution

The fourth proportional to 24,692.20, 37,030.20 and 9,107.80 is: 13,658.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,692.20 : 37,030.20 = 9,107.80 : x
  2. Step 2: Convert to fraction form
    24,692.20/37,030.20 = 9,107.80/x
  3. Step 3: Cross multiply
    24,692.20x = 37,030.20 × 9,107.80
  4. Step 4: Simplify right side
    24,692.20x = 337,263,655.56
  5. Step 5: Solve for x
    x = 337,263,655.56/24,692.20
  6. Step 6: Final answer
    x = 13,658.71

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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.