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Finding the Fourth Proportional to 23,537.61, 35,302.68 and 6,893.73

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Solution

The fourth proportional to 23,537.61, 35,302.68 and 6,893.73 is: 10,339.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,537.61 : 35,302.68 = 6,893.73 : x
  2. Step 2: Convert to fraction form
    23,537.61/35,302.68 = 6,893.73/x
  3. Step 3: Cross multiply
    23,537.61x = 35,302.68 × 6,893.73
  4. Step 4: Simplify right side
    23,537.61x = 243,367,144.20
  5. Step 5: Solve for x
    x = 243,367,144.20/23,537.61
  6. Step 6: Final answer
    x = 10,339.50

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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.