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Finding the Fourth Proportional to 12,098.63, 18,148.62 and 3,779.80

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Solution

The fourth proportional to 12,098.63, 18,148.62 and 3,779.80 is: 5,669.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,098.63 : 18,148.62 = 3,779.80 : x
  2. Step 2: Convert to fraction form
    12,098.63/18,148.62 = 3,779.80/x
  3. Step 3: Cross multiply
    12,098.63x = 18,148.62 × 3,779.80
  4. Step 4: Simplify right side
    12,098.63x = 68,598,153.88
  5. Step 5: Solve for x
    x = 68,598,153.88/12,098.63
  6. Step 6: Final answer
    x = 5,669.91

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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.