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Finding the Fourth Proportional to 24,434.80, 36,625.20 and 9,638.80

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Solution

The fourth proportional to 24,434.80, 36,625.20 and 9,638.80 is: 14,447.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,434.80 : 36,625.20 = 9,638.80 : x
  2. Step 2: Convert to fraction form
    24,434.80/36,625.20 = 9,638.80/x
  3. Step 3: Cross multiply
    24,434.80x = 36,625.20 × 9,638.80
  4. Step 4: Simplify right side
    24,434.80x = 353,022,977.76
  5. Step 5: Solve for x
    x = 353,022,977.76/24,434.80
  6. Step 6: Final answer
    x = 14,447.55

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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.