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Finding the Fourth Proportional to 13,185.36, 19,809 and 12,438.12

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Solution

The fourth proportional to 13,185.36, 19,809 and 12,438.12 is: 18,686.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,185.36 : 19,809 = 12,438.12 : x
  2. Step 2: Convert to fraction form
    13,185.36/19,809 = 12,438.12/x
  3. Step 3: Cross multiply
    13,185.36x = 19,809 × 12,438.12
  4. Step 4: Simplify right side
    13,185.36x = 246,386,719.08
  5. Step 5: Solve for x
    x = 246,386,719.08/13,185.36
  6. Step 6: Final answer
    x = 18,686.39

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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.