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Finding the Fourth Proportional to 15,414.54, 23,000.82 and 14,474.16

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Solution

The fourth proportional to 15,414.54, 23,000.82 and 14,474.16 is: 21,597.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,414.54 : 23,000.82 = 14,474.16 : x
  2. Step 2: Convert to fraction form
    15,414.54/23,000.82 = 14,474.16/x
  3. Step 3: Cross multiply
    15,414.54x = 23,000.82 × 14,474.16
  4. Step 4: Simplify right side
    15,414.54x = 332,917,548.81
  5. Step 5: Solve for x
    x = 332,917,548.81/15,414.54
  6. Step 6: Final answer
    x = 21,597.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.