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Finding the Fourth Proportional to 24,686.83, 37,034.08 and 8,042.99

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Solution

The fourth proportional to 24,686.83, 37,034.08 and 8,042.99 is: 12,065.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,686.83 : 37,034.08 = 8,042.99 : x
  2. Step 2: Convert to fraction form
    24,686.83/37,034.08 = 8,042.99/x
  3. Step 3: Cross multiply
    24,686.83x = 37,034.08 × 8,042.99
  4. Step 4: Simplify right side
    24,686.83x = 297,864,559.98
  5. Step 5: Solve for x
    x = 297,864,559.98/24,686.83
  6. Step 6: Final answer
    x = 12,065.73

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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.