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Finding the Fourth Proportional to 21,782.46, 30,076.74 and 16,738.68

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Solution

The fourth proportional to 21,782.46, 30,076.74 and 16,738.68 is: 23,112.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,782.46 : 30,076.74 = 16,738.68 : x
  2. Step 2: Convert to fraction form
    21,782.46/30,076.74 = 16,738.68/x
  3. Step 3: Cross multiply
    21,782.46x = 30,076.74 × 16,738.68
  4. Step 4: Simplify right side
    21,782.46x = 503,444,926.30
  5. Step 5: Solve for x
    x = 503,444,926.30/21,782.46
  6. Step 6: Final answer
    x = 23,112.40

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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.