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Finding the Fourth Proportional to 19,302.37, 28,958.14 and 8,209.42

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Solution

The fourth proportional to 19,302.37, 28,958.14 and 8,209.42 is: 12,316.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,302.37 : 28,958.14 = 8,209.42 : x
  2. Step 2: Convert to fraction form
    19,302.37/28,958.14 = 8,209.42/x
  3. Step 3: Cross multiply
    19,302.37x = 28,958.14 × 8,209.42
  4. Step 4: Simplify right side
    19,302.37x = 237,729,471.55
  5. Step 5: Solve for x
    x = 237,729,471.55/19,302.37
  6. Step 6: Final answer
    x = 12,316.08

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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.