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Finding the Fourth Proportional to 24,668.30, 37,002.80 and 8,028.42

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Solution

The fourth proportional to 24,668.30, 37,002.80 and 8,028.42 is: 12,042.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,668.30 : 37,002.80 = 8,028.42 : x
  2. Step 2: Convert to fraction form
    24,668.30/37,002.80 = 8,028.42/x
  3. Step 3: Cross multiply
    24,668.30x = 37,002.80 × 8,028.42
  4. Step 4: Simplify right side
    24,668.30x = 297,074,019.58
  5. Step 5: Solve for x
    x = 297,074,019.58/24,668.30
  6. Step 6: Final answer
    x = 12,042.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.