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Finding the Fourth Proportional to 22,046.46, 30,409.02 and 14,085.16

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Solution

The fourth proportional to 22,046.46, 30,409.02 and 14,085.16 is: 19,427.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,046.46 : 30,409.02 = 14,085.16 : x
  2. Step 2: Convert to fraction form
    22,046.46/30,409.02 = 14,085.16/x
  3. Step 3: Cross multiply
    22,046.46x = 30,409.02 × 14,085.16
  4. Step 4: Simplify right side
    22,046.46x = 428,315,912.14
  5. Step 5: Solve for x
    x = 428,315,912.14/22,046.46
  6. Step 6: Final answer
    x = 19,427.88

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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.