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Finding the Fourth Proportional to 24,668.43, 37,003.32 and 7,138.95

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Solution

The fourth proportional to 24,668.43, 37,003.32 and 7,138.95 is: 10,708.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,668.43 : 37,003.32 = 7,138.95 : x
  2. Step 2: Convert to fraction form
    24,668.43/37,003.32 = 7,138.95/x
  3. Step 3: Cross multiply
    24,668.43x = 37,003.32 × 7,138.95
  4. Step 4: Simplify right side
    24,668.43x = 264,164,851.31
  5. Step 5: Solve for x
    x = 264,164,851.31/24,668.43
  6. Step 6: Final answer
    x = 10,708.62

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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.