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Finding the Fourth Proportional to 24,658.44, 36,970.38 and 9,074.04

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Solution

The fourth proportional to 24,658.44, 36,970.38 and 9,074.04 is: 13,604.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,658.44 : 36,970.38 = 9,074.04 : x
  2. Step 2: Convert to fraction form
    24,658.44/36,970.38 = 9,074.04/x
  3. Step 3: Cross multiply
    24,658.44x = 36,970.38 × 9,074.04
  4. Step 4: Simplify right side
    24,658.44x = 335,470,706.94
  5. Step 5: Solve for x
    x = 335,470,706.94/24,658.44
  6. Step 6: Final answer
    x = 13,604.70

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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.