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Finding the Fourth Proportional to 19,554.14, 26,977.64 and 12,843.38

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Solution

The fourth proportional to 19,554.14, 26,977.64 and 12,843.38 is: 17,719.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,554.14 : 26,977.64 = 12,843.38 : x
  2. Step 2: Convert to fraction form
    19,554.14/26,977.64 = 12,843.38/x
  3. Step 3: Cross multiply
    19,554.14x = 26,977.64 × 12,843.38
  4. Step 4: Simplify right side
    19,554.14x = 346,483,882.92
  5. Step 5: Solve for x
    x = 346,483,882.92/19,554.14
  6. Step 6: Final answer
    x = 17,719.21

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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.