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Finding the Fourth Proportional to 22,181, 30,609.76 and 14,223.20

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Solution

The fourth proportional to 22,181, 30,609.76 and 14,223.20 is: 19,628.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,181 : 30,609.76 = 14,223.20 : x
  2. Step 2: Convert to fraction form
    22,181/30,609.76 = 14,223.20/x
  3. Step 3: Cross multiply
    22,181x = 30,609.76 × 14,223.20
  4. Step 4: Simplify right side
    22,181x = 435,368,738.43
  5. Step 5: Solve for x
    x = 435,368,738.43/22,181
  6. Step 6: Final answer
    x = 19,628.00

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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.