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Finding the Fourth Proportional to 24,311.00, 36,466.49 and 7,672.70

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Solution

The fourth proportional to 24,311.00, 36,466.49 and 7,672.70 is: 11,509.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,311.00 : 36,466.49 = 7,672.70 : x
  2. Step 2: Convert to fraction form
    24,311.00/36,466.49 = 7,672.70/x
  3. Step 3: Cross multiply
    24,311.00x = 36,466.49 × 7,672.70
  4. Step 4: Simplify right side
    24,311.00x = 279,796,548.17
  5. Step 5: Solve for x
    x = 279,796,548.17/24,311.00
  6. Step 6: Final answer
    x = 11,509.05

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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.