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Finding the Fourth Proportional to 22,954, 31,668.39 and 15,000.83

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Solution

The fourth proportional to 22,954, 31,668.39 and 15,000.83 is: 20,695.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,954 : 31,668.39 = 15,000.83 : x
  2. Step 2: Convert to fraction form
    22,954/31,668.39 = 15,000.83/x
  3. Step 3: Cross multiply
    22,954x = 31,668.39 × 15,000.83
  4. Step 4: Simplify right side
    22,954x = 475,052,134.76
  5. Step 5: Solve for x
    x = 475,052,134.76/22,954
  6. Step 6: Final answer
    x = 20,695.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.