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Finding the Fourth Proportional to 21,524.25, 29,705.01 and 12,092.82

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Solution

The fourth proportional to 21,524.25, 29,705.01 and 12,092.82 is: 16,688.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,524.25 : 29,705.01 = 12,092.82 : x
  2. Step 2: Convert to fraction form
    21,524.25/29,705.01 = 12,092.82/x
  3. Step 3: Cross multiply
    21,524.25x = 29,705.01 × 12,092.82
  4. Step 4: Simplify right side
    21,524.25x = 359,217,339.03
  5. Step 5: Solve for x
    x = 359,217,339.03/21,524.25
  6. Step 6: Final answer
    x = 16,688.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.