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Finding the Fourth Proportional to 24,666, 37,000.83 and 8,024.76

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Solution

The fourth proportional to 24,666, 37,000.83 and 8,024.76 is: 12,037.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,666 : 37,000.83 = 8,024.76 : x
  2. Step 2: Convert to fraction form
    24,666/37,000.83 = 8,024.76/x
  3. Step 3: Cross multiply
    24,666x = 37,000.83 × 8,024.76
  4. Step 4: Simplify right side
    24,666x = 296,922,780.55
  5. Step 5: Solve for x
    x = 296,922,780.55/24,666
  6. Step 6: Final answer
    x = 12,037.74

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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.