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Finding the Fourth Proportional to 20,035.37, 27,649.82 and 12,080.16

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Solution

The fourth proportional to 20,035.37, 27,649.82 and 12,080.16 is: 16,671.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,035.37 : 27,649.82 = 12,080.16 : x
  2. Step 2: Convert to fraction form
    20,035.37/27,649.82 = 12,080.16/x
  3. Step 3: Cross multiply
    20,035.37x = 27,649.82 × 12,080.16
  4. Step 4: Simplify right side
    20,035.37x = 334,014,279.77
  5. Step 5: Solve for x
    x = 334,014,279.77/20,035.37
  6. Step 6: Final answer
    x = 16,671.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.