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Finding the Fourth Proportional to 27,649.74, 41,484.33 and 12,065.34

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Solution

The fourth proportional to 27,649.74, 41,484.33 and 12,065.34 is: 18,102.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,649.74 : 41,484.33 = 12,065.34 : x
  2. Step 2: Convert to fraction form
    27,649.74/41,484.33 = 12,065.34/x
  3. Step 3: Cross multiply
    27,649.74x = 41,484.33 × 12,065.34
  4. Step 4: Simplify right side
    27,649.74x = 500,522,546.12
  5. Step 5: Solve for x
    x = 500,522,546.12/27,649.74
  6. Step 6: Final answer
    x = 18,102.25

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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.