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Finding the Fourth Proportional to 22,146.21, 30,544.49 and 14,189.18

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Solution

The fourth proportional to 22,146.21, 30,544.49 and 14,189.18 is: 19,570.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,146.21 : 30,544.49 = 14,189.18 : x
  2. Step 2: Convert to fraction form
    22,146.21/30,544.49 = 14,189.18/x
  3. Step 3: Cross multiply
    22,146.21x = 30,544.49 × 14,189.18
  4. Step 4: Simplify right side
    22,146.21x = 433,401,266.62
  5. Step 5: Solve for x
    x = 433,401,266.62/22,146.21
  6. Step 6: Final answer
    x = 19,570.00

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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.