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Finding the Fourth Proportional to 21,893.83, 32,819.61 and 7,092.70

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Solution

The fourth proportional to 21,893.83, 32,819.61 and 7,092.70 is: 10,632.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,893.83 : 32,819.61 = 7,092.70 : x
  2. Step 2: Convert to fraction form
    21,893.83/32,819.61 = 7,092.70/x
  3. Step 3: Cross multiply
    21,893.83x = 32,819.61 × 7,092.70
  4. Step 4: Simplify right side
    21,893.83x = 232,779,647.85
  5. Step 5: Solve for x
    x = 232,779,647.85/21,893.83
  6. Step 6: Final answer
    x = 10,632.20

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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.