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Finding the Fourth Proportional to 19,902.66, 27,466.47 and 11,941.98

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Solution

The fourth proportional to 19,902.66, 27,466.47 and 11,941.98 is: 16,480.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,902.66 : 27,466.47 = 11,941.98 : x
  2. Step 2: Convert to fraction form
    19,902.66/27,466.47 = 11,941.98/x
  3. Step 3: Cross multiply
    19,902.66x = 27,466.47 × 11,941.98
  4. Step 4: Simplify right side
    19,902.66x = 328,004,035.41
  5. Step 5: Solve for x
    x = 328,004,035.41/19,902.66
  6. Step 6: Final answer
    x = 16,480.41

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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.