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Finding the Fourth Proportional to 21,092.32, 31,662.92 and 12,333.52

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Solution

The fourth proportional to 21,092.32, 31,662.92 and 12,333.52 is: 18,514.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,092.32 : 31,662.92 = 12,333.52 : x
  2. Step 2: Convert to fraction form
    21,092.32/31,662.92 = 12,333.52/x
  3. Step 3: Cross multiply
    21,092.32x = 31,662.92 × 12,333.52
  4. Step 4: Simplify right side
    21,092.32x = 390,515,257.08
  5. Step 5: Solve for x
    x = 390,515,257.08/21,092.32
  6. Step 6: Final answer
    x = 18,514.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.