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Finding the Fourth Proportional to 21,820.99, 30,114.26 and 16,433.92

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Solution

The fourth proportional to 21,820.99, 30,114.26 and 16,433.92 is: 22,679.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,820.99 : 30,114.26 = 16,433.92 : x
  2. Step 2: Convert to fraction form
    21,820.99/30,114.26 = 16,433.92/x
  3. Step 3: Cross multiply
    21,820.99x = 30,114.26 × 16,433.92
  4. Step 4: Simplify right side
    21,820.99x = 494,895,399.55
  5. Step 5: Solve for x
    x = 494,895,399.55/21,820.99
  6. Step 6: Final answer
    x = 22,679.79

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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.