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Finding the Fourth Proportional to 27,708.70, 41,534.70 and 13,647.10

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Solution

The fourth proportional to 27,708.70, 41,534.70 and 13,647.10 is: 20,456.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,708.70 : 41,534.70 = 13,647.10 : x
  2. Step 2: Convert to fraction form
    27,708.70/41,534.70 = 13,647.10/x
  3. Step 3: Cross multiply
    27,708.70x = 41,534.70 × 13,647.10
  4. Step 4: Simplify right side
    27,708.70x = 566,828,204.37
  5. Step 5: Solve for x
    x = 566,828,204.37/27,708.70
  6. Step 6: Final answer
    x = 20,456.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.