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Finding the Fourth Proportional to 24,145.21, 36,222.95 and 7,504.84

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Solution

The fourth proportional to 24,145.21, 36,222.95 and 7,504.84 is: 11,258.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,145.21 : 36,222.95 = 7,504.84 : x
  2. Step 2: Convert to fraction form
    24,145.21/36,222.95 = 7,504.84/x
  3. Step 3: Cross multiply
    24,145.21x = 36,222.95 × 7,504.84
  4. Step 4: Simplify right side
    24,145.21x = 271,847,444.08
  5. Step 5: Solve for x
    x = 271,847,444.08/24,145.21
  6. Step 6: Final answer
    x = 11,258.86

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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.