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Finding the Fourth Proportional to 24,106.66, 36,157.94 and 8,310.14

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Solution

The fourth proportional to 24,106.66, 36,157.94 and 8,310.14 is: 12,464.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,106.66 : 36,157.94 = 8,310.14 : x
  2. Step 2: Convert to fraction form
    24,106.66/36,157.94 = 8,310.14/x
  3. Step 3: Cross multiply
    24,106.66x = 36,157.94 × 8,310.14
  4. Step 4: Simplify right side
    24,106.66x = 300,477,738.06
  5. Step 5: Solve for x
    x = 300,477,738.06/24,106.66
  6. Step 6: Final answer
    x = 12,464.51

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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.