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Finding the Fourth Proportional to 27,775.48, 41,649.62 and 13,730.96

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Solution

The fourth proportional to 27,775.48, 41,649.62 and 13,730.96 is: 20,589.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,775.48 : 41,649.62 = 13,730.96 : x
  2. Step 2: Convert to fraction form
    27,775.48/41,649.62 = 13,730.96/x
  3. Step 3: Cross multiply
    27,775.48x = 41,649.62 × 13,730.96
  4. Step 4: Simplify right side
    27,775.48x = 571,889,266.24
  5. Step 5: Solve for x
    x = 571,889,266.24/27,775.48
  6. Step 6: Final answer
    x = 20,589.72

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