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Finding the Fourth Proportional to 22,080, 30,471.04 and 12,144

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Solution

The fourth proportional to 22,080, 30,471.04 and 12,144 is: 16,759.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,080 : 30,471.04 = 12,144 : x
  2. Step 2: Convert to fraction form
    22,080/30,471.04 = 12,144/x
  3. Step 3: Cross multiply
    22,080x = 30,471.04 × 12,144
  4. Step 4: Simplify right side
    22,080x = 370,040,309.76
  5. Step 5: Solve for x
    x = 370,040,309.76/22,080
  6. Step 6: Final answer
    x = 16,759.07

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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.