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Finding the Fourth Proportional to 27,877.19, 38,469.21 and 15,130.09

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Solution

The fourth proportional to 27,877.19, 38,469.21 and 15,130.09 is: 20,878.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,877.19 : 38,469.21 = 15,130.09 : x
  2. Step 2: Convert to fraction form
    27,877.19/38,469.21 = 15,130.09/x
  3. Step 3: Cross multiply
    27,877.19x = 38,469.21 × 15,130.09
  4. Step 4: Simplify right side
    27,877.19x = 582,042,417.18
  5. Step 5: Solve for x
    x = 582,042,417.18/27,877.19
  6. Step 6: Final answer
    x = 20,878.81

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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.