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Finding the Fourth Proportional to 27,567.37, 38,047.22 and 15,628.17

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Solution

The fourth proportional to 27,567.37, 38,047.22 and 15,628.17 is: 21,569.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,567.37 : 38,047.22 = 15,628.17 : x
  2. Step 2: Convert to fraction form
    27,567.37/38,047.22 = 15,628.17/x
  3. Step 3: Cross multiply
    27,567.37x = 38,047.22 × 15,628.17
  4. Step 4: Simplify right side
    27,567.37x = 594,608,545.33
  5. Step 5: Solve for x
    x = 594,608,545.33/27,567.37
  6. Step 6: Final answer
    x = 21,569.29

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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.