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Finding the Fourth Proportional to 19,654.75, 27,123.28 and 11,696.77

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Solution

The fourth proportional to 19,654.75, 27,123.28 and 11,696.77 is: 16,141.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,654.75 : 27,123.28 = 11,696.77 : x
  2. Step 2: Convert to fraction form
    19,654.75/27,123.28 = 11,696.77/x
  3. Step 3: Cross multiply
    19,654.75x = 27,123.28 × 11,696.77
  4. Step 4: Simplify right side
    19,654.75x = 317,254,767.81
  5. Step 5: Solve for x
    x = 317,254,767.81/19,654.75
  6. Step 6: Final answer
    x = 16,141.38

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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.