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Finding the Fourth Proportional to 21,834.34, 30,131.49 and 12,403.42

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Solution

The fourth proportional to 21,834.34, 30,131.49 and 12,403.42 is: 17,116.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,834.34 : 30,131.49 = 12,403.42 : x
  2. Step 2: Convert to fraction form
    21,834.34/30,131.49 = 12,403.42/x
  3. Step 3: Cross multiply
    21,834.34x = 30,131.49 × 12,403.42
  4. Step 4: Simplify right side
    21,834.34x = 373,733,525.70
  5. Step 5: Solve for x
    x = 373,733,525.70/21,834.34
  6. Step 6: Final answer
    x = 17,116.78

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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.