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Finding the Fourth Proportional to 15,786.70, 23,668.05 and 8,001.10

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Solution

The fourth proportional to 15,786.70, 23,668.05 and 8,001.10 is: 11,995.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,786.70 : 23,668.05 = 8,001.10 : x
  2. Step 2: Convert to fraction form
    15,786.70/23,668.05 = 8,001.10/x
  3. Step 3: Cross multiply
    15,786.70x = 23,668.05 × 8,001.10
  4. Step 4: Simplify right side
    15,786.70x = 189,370,434.86
  5. Step 5: Solve for x
    x = 189,370,434.86/15,786.70
  6. Step 6: Final answer
    x = 11,995.57

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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.