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Finding the Fourth Proportional to 20,194.59, 30,302.82 and 19,458.30

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Solution

The fourth proportional to 20,194.59, 30,302.82 and 19,458.30 is: 29,197.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,194.59 : 30,302.82 = 19,458.30 : x
  2. Step 2: Convert to fraction form
    20,194.59/30,302.82 = 19,458.30/x
  3. Step 3: Cross multiply
    20,194.59x = 30,302.82 × 19,458.30
  4. Step 4: Simplify right side
    20,194.59x = 589,641,362.41
  5. Step 5: Solve for x
    x = 589,641,362.41/20,194.59
  6. Step 6: Final answer
    x = 29,197.99

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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.