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Finding the Fourth Proportional to 19,567.38, 27,006.44 and 11,614

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Solution

The fourth proportional to 19,567.38, 27,006.44 and 11,614 is: 16,029.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,567.38 : 27,006.44 = 11,614 : x
  2. Step 2: Convert to fraction form
    19,567.38/27,006.44 = 11,614/x
  3. Step 3: Cross multiply
    19,567.38x = 27,006.44 × 11,614
  4. Step 4: Simplify right side
    19,567.38x = 313,652,794.16
  5. Step 5: Solve for x
    x = 313,652,794.16/19,567.38
  6. Step 6: Final answer
    x = 16,029.37

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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.