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Finding the Fourth Proportional to 23,897.63, 35,842.91 and 8,102.43

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Solution

The fourth proportional to 23,897.63, 35,842.91 and 8,102.43 is: 12,152.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,897.63 : 35,842.91 = 8,102.43 : x
  2. Step 2: Convert to fraction form
    23,897.63/35,842.91 = 8,102.43/x
  3. Step 3: Cross multiply
    23,897.63x = 35,842.91 × 8,102.43
  4. Step 4: Simplify right side
    23,897.63x = 290,414,628.76
  5. Step 5: Solve for x
    x = 290,414,628.76/23,897.63
  6. Step 6: Final answer
    x = 12,152.44

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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.