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Finding the Fourth Proportional to 20,144.07, 27,797.19 and 11,646.74

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Solution

The fourth proportional to 20,144.07, 27,797.19 and 11,646.74 is: 16,071.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,144.07 : 27,797.19 = 11,646.74 : x
  2. Step 2: Convert to fraction form
    20,144.07/27,797.19 = 11,646.74/x
  3. Step 3: Cross multiply
    20,144.07x = 27,797.19 × 11,646.74
  4. Step 4: Simplify right side
    20,144.07x = 323,746,505.67
  5. Step 5: Solve for x
    x = 323,746,505.67/20,144.07
  6. Step 6: Final answer
    x = 16,071.55

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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.