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Finding the Fourth Proportional to 24,245.40, 36,343.80 and 11,107.20

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Solution

The fourth proportional to 24,245.40, 36,343.80 and 11,107.20 is: 16,649.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,245.40 : 36,343.80 = 11,107.20 : x
  2. Step 2: Convert to fraction form
    24,245.40/36,343.80 = 11,107.20/x
  3. Step 3: Cross multiply
    24,245.40x = 36,343.80 × 11,107.20
  4. Step 4: Simplify right side
    24,245.40x = 403,677,855.36
  5. Step 5: Solve for x
    x = 403,677,855.36/24,245.40
  6. Step 6: Final answer
    x = 16,649.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.