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Finding the Fourth Proportional to 12,098.95, 18,153.56 and 5,863.60

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Solution

The fourth proportional to 12,098.95, 18,153.56 and 5,863.60 is: 8,797.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,098.95 : 18,153.56 = 5,863.60 : x
  2. Step 2: Convert to fraction form
    12,098.95/18,153.56 = 5,863.60/x
  3. Step 3: Cross multiply
    12,098.95x = 18,153.56 × 5,863.60
  4. Step 4: Simplify right side
    12,098.95x = 106,445,214.42
  5. Step 5: Solve for x
    x = 106,445,214.42/12,098.95
  6. Step 6: Final answer
    x = 8,797.89

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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.