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Finding the Fourth Proportional to 19,673.80, 27,149.74 and 11,293

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Solution

The fourth proportional to 19,673.80, 27,149.74 and 11,293 is: 15,584.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,673.80 : 27,149.74 = 11,293 : x
  2. Step 2: Convert to fraction form
    19,673.80/27,149.74 = 11,293/x
  3. Step 3: Cross multiply
    19,673.80x = 27,149.74 × 11,293
  4. Step 4: Simplify right side
    19,673.80x = 306,602,013.82
  5. Step 5: Solve for x
    x = 306,602,013.82/19,673.80
  6. Step 6: Final answer
    x = 15,584.28

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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.