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Finding the Fourth Proportional to 27,567, 41,339.34 and 14,410.98

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Solution

The fourth proportional to 27,567, 41,339.34 and 14,410.98 is: 21,610.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,567 : 41,339.34 = 14,410.98 : x
  2. Step 2: Convert to fraction form
    27,567/41,339.34 = 14,410.98/x
  3. Step 3: Cross multiply
    27,567x = 41,339.34 × 14,410.98
  4. Step 4: Simplify right side
    27,567x = 595,740,401.95
  5. Step 5: Solve for x
    x = 595,740,401.95/27,567
  6. Step 6: Final answer
    x = 21,610.64

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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.