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Finding the Fourth Proportional to 27,588.50, 38,072.13 and 15,013.34

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Solution

The fourth proportional to 27,588.50, 38,072.13 and 15,013.34 is: 20,718.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,588.50 : 38,072.13 = 15,013.34 : x
  2. Step 2: Convert to fraction form
    27,588.50/38,072.13 = 15,013.34/x
  3. Step 3: Cross multiply
    27,588.50x = 38,072.13 × 15,013.34
  4. Step 4: Simplify right side
    27,588.50x = 571,589,832.21
  5. Step 5: Solve for x
    x = 571,589,832.21/27,588.50
  6. Step 6: Final answer
    x = 20,718.41

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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.