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Finding the Fourth Proportional to 24,662.84, 36,994.23 and 7,132.64

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Solution

The fourth proportional to 24,662.84, 36,994.23 and 7,132.64 is: 10,698.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,662.84 : 36,994.23 = 7,132.64 : x
  2. Step 2: Convert to fraction form
    24,662.84/36,994.23 = 7,132.64/x
  3. Step 3: Cross multiply
    24,662.84x = 36,994.23 × 7,132.64
  4. Step 4: Simplify right side
    24,662.84x = 263,866,339.70
  5. Step 5: Solve for x
    x = 263,866,339.70/24,662.84
  6. Step 6: Final answer
    x = 10,698.95

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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.