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Finding the Fourth Proportional to 24,671.03, 37,007.00 and 8,031

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Solution

The fourth proportional to 24,671.03, 37,007.00 and 8,031 is: 12,046.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,671.03 : 37,007.00 = 8,031 : x
  2. Step 2: Convert to fraction form
    24,671.03/37,007.00 = 8,031/x
  3. Step 3: Cross multiply
    24,671.03x = 37,007.00 × 8,031
  4. Step 4: Simplify right side
    24,671.03x = 297,203,176.85
  5. Step 5: Solve for x
    x = 297,203,176.85/24,671.03
  6. Step 6: Final answer
    x = 12,046.65

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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.