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Finding the Fourth Proportional to 21,782.66, 30,077 and 16,738.94

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Solution

The fourth proportional to 21,782.66, 30,077 and 16,738.94 is: 23,112.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,782.66 : 30,077 = 16,738.94 : x
  2. Step 2: Convert to fraction form
    21,782.66/30,077 = 16,738.94/x
  3. Step 3: Cross multiply
    21,782.66x = 30,077 × 16,738.94
  4. Step 4: Simplify right side
    21,782.66x = 503,457,098.38
  5. Step 5: Solve for x
    x = 503,457,098.38/21,782.66
  6. Step 6: Final answer
    x = 23,112.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.