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Finding the Fourth Proportional to 12,405.10, 18,618.99 and 5,835.19

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Solution

The fourth proportional to 12,405.10, 18,618.99 and 5,835.19 is: 8,758.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,405.10 : 18,618.99 = 5,835.19 : x
  2. Step 2: Convert to fraction form
    12,405.10/18,618.99 = 5,835.19/x
  3. Step 3: Cross multiply
    12,405.10x = 18,618.99 × 5,835.19
  4. Step 4: Simplify right side
    12,405.10x = 108,645,344.26
  5. Step 5: Solve for x
    x = 108,645,344.26/12,405.10
  6. Step 6: Final answer
    x = 8,758.12

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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.