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Finding the Fourth Proportional to 19,649.86, 27,114.69 and 11,690.80

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Solution

The fourth proportional to 19,649.86, 27,114.69 and 11,690.80 is: 16,132.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,649.86 : 27,114.69 = 11,690.80 : x
  2. Step 2: Convert to fraction form
    19,649.86/27,114.69 = 11,690.80/x
  3. Step 3: Cross multiply
    19,649.86x = 27,114.69 × 11,690.80
  4. Step 4: Simplify right side
    19,649.86x = 316,992,417.85
  5. Step 5: Solve for x
    x = 316,992,417.85/19,649.86
  6. Step 6: Final answer
    x = 16,132.04

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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.