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Finding the Fourth Proportional to 23,542.50, 35,283.72 and 11,034.94

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Solution

The fourth proportional to 23,542.50, 35,283.72 and 11,034.94 is: 16,538.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,542.50 : 35,283.72 = 11,034.94 : x
  2. Step 2: Convert to fraction form
    23,542.50/35,283.72 = 11,034.94/x
  3. Step 3: Cross multiply
    23,542.50x = 35,283.72 × 11,034.94
  4. Step 4: Simplify right side
    23,542.50x = 389,353,733.18
  5. Step 5: Solve for x
    x = 389,353,733.18/23,542.50
  6. Step 6: Final answer
    x = 16,538.33

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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.