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Finding the Fourth Proportional to 24,668.72, 37,012.81 and 10,808

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Solution

The fourth proportional to 24,668.72, 37,012.81 and 10,808 is: 16,216.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,668.72 : 37,012.81 = 10,808 : x
  2. Step 2: Convert to fraction form
    24,668.72/37,012.81 = 10,808/x
  3. Step 3: Cross multiply
    24,668.72x = 37,012.81 × 10,808
  4. Step 4: Simplify right side
    24,668.72x = 400,034,450.48
  5. Step 5: Solve for x
    x = 400,034,450.48/24,668.72
  6. Step 6: Final answer
    x = 16,216.26

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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.