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Finding the Fourth Proportional to 24,145.99, 36,223.18 and 8,134.00

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Solution

The fourth proportional to 24,145.99, 36,223.18 and 8,134.00 is: 12,202.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,145.99 : 36,223.18 = 8,134.00 : x
  2. Step 2: Convert to fraction form
    24,145.99/36,223.18 = 8,134.00/x
  3. Step 3: Cross multiply
    24,145.99x = 36,223.18 × 8,134.00
  4. Step 4: Simplify right side
    24,145.99x = 294,639,235.23
  5. Step 5: Solve for x
    x = 294,639,235.23/24,145.99
  6. Step 6: Final answer
    x = 12,202.41

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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.