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Finding the Fourth Proportional to 21,678.19, 29,915.90 and 11,742.19

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Solution

The fourth proportional to 21,678.19, 29,915.90 and 11,742.19 is: 16,204.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,678.19 : 29,915.90 = 11,742.19 : x
  2. Step 2: Convert to fraction form
    21,678.19/29,915.90 = 11,742.19/x
  3. Step 3: Cross multiply
    21,678.19x = 29,915.90 × 11,742.19
  4. Step 4: Simplify right side
    21,678.19x = 351,278,092.35
  5. Step 5: Solve for x
    x = 351,278,092.35/21,678.19
  6. Step 6: Final answer
    x = 16,204.22

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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.