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Finding the Fourth Proportional to 20,495.94, 28,284.49 and 11,543.61

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Solution

The fourth proportional to 20,495.94, 28,284.49 and 11,543.61 is: 15,930.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,495.94 : 28,284.49 = 11,543.61 : x
  2. Step 2: Convert to fraction form
    20,495.94/28,284.49 = 11,543.61/x
  3. Step 3: Cross multiply
    20,495.94x = 28,284.49 × 11,543.61
  4. Step 4: Simplify right side
    20,495.94x = 326,505,242.11
  5. Step 5: Solve for x
    x = 326,505,242.11/20,495.94
  6. Step 6: Final answer
    x = 15,930.24

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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.