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Finding the Fourth Proportional to 12,193.25, 18,289.92 and 2,959.25

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Solution

The fourth proportional to 12,193.25, 18,289.92 and 2,959.25 is: 4,438.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,193.25 : 18,289.92 = 2,959.25 : x
  2. Step 2: Convert to fraction form
    12,193.25/18,289.92 = 2,959.25/x
  3. Step 3: Cross multiply
    12,193.25x = 18,289.92 × 2,959.25
  4. Step 4: Simplify right side
    12,193.25x = 54,124,445.76
  5. Step 5: Solve for x
    x = 54,124,445.76/12,193.25
  6. Step 6: Final answer
    x = 4,438.89

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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.