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Finding the Fourth Proportional to 20,453.86, 30,688.08 and 11,696.14

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Solution

The fourth proportional to 20,453.86, 30,688.08 and 11,696.14 is: 17,548.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,453.86 : 30,688.08 = 11,696.14 : x
  2. Step 2: Convert to fraction form
    20,453.86/30,688.08 = 11,696.14/x
  3. Step 3: Cross multiply
    20,453.86x = 30,688.08 × 11,696.14
  4. Step 4: Simplify right side
    20,453.86x = 358,932,080.01
  5. Step 5: Solve for x
    x = 358,932,080.01/20,453.86
  6. Step 6: Final answer
    x = 17,548.38

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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.