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Finding the Fourth Proportional to 20,763.36, 31,143.99 and 11,421.63

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Solution

The fourth proportional to 20,763.36, 31,143.99 and 11,421.63 is: 17,131.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,763.36 : 31,143.99 = 11,421.63 : x
  2. Step 2: Convert to fraction form
    20,763.36/31,143.99 = 11,421.63/x
  3. Step 3: Cross multiply
    20,763.36x = 31,143.99 × 11,421.63
  4. Step 4: Simplify right side
    20,763.36x = 355,715,130.50
  5. Step 5: Solve for x
    x = 355,715,130.50/20,763.36
  6. Step 6: Final answer
    x = 17,131.87

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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.