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Finding the Fourth Proportional to 21,820.22, 30,111.90 and 11,884.22

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Solution

The fourth proportional to 21,820.22, 30,111.90 and 11,884.22 is: 16,400.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,820.22 : 30,111.90 = 11,884.22 : x
  2. Step 2: Convert to fraction form
    21,820.22/30,111.90 = 11,884.22/x
  3. Step 3: Cross multiply
    21,820.22x = 30,111.90 × 11,884.22
  4. Step 4: Simplify right side
    21,820.22x = 357,856,428.86
  5. Step 5: Solve for x
    x = 357,856,428.86/21,820.22
  6. Step 6: Final answer
    x = 16,400.22

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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.