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Finding the Fourth Proportional to 22,381.56, 30,891.21 and 14,199.87

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Solution

The fourth proportional to 22,381.56, 30,891.21 and 14,199.87 is: 19,598.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,381.56 : 30,891.21 = 14,199.87 : x
  2. Step 2: Convert to fraction form
    22,381.56/30,891.21 = 14,199.87/x
  3. Step 3: Cross multiply
    22,381.56x = 30,891.21 × 14,199.87
  4. Step 4: Simplify right side
    22,381.56x = 438,651,166.14
  5. Step 5: Solve for x
    x = 438,651,166.14/22,381.56
  6. Step 6: Final answer
    x = 19,598.78

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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.