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Finding the Fourth Proportional to 27,549.89, 38,018.09 and 15,614.33

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Solution

The fourth proportional to 27,549.89, 38,018.09 and 15,614.33 is: 21,547.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,549.89 : 38,018.09 = 15,614.33 : x
  2. Step 2: Convert to fraction form
    27,549.89/38,018.09 = 15,614.33/x
  3. Step 3: Cross multiply
    27,549.89x = 38,018.09 × 15,614.33
  4. Step 4: Simplify right side
    27,549.89x = 593,627,003.23
  5. Step 5: Solve for x
    x = 593,627,003.23/27,549.89
  6. Step 6: Final answer
    x = 21,547.35

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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.