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Finding the Fourth Proportional to 13,194.36, 19,822.50 and 12,447.12

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Solution

The fourth proportional to 13,194.36, 19,822.50 and 12,447.12 is: 18,699.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,194.36 : 19,822.50 = 12,447.12 : x
  2. Step 2: Convert to fraction form
    13,194.36/19,822.50 = 12,447.12/x
  3. Step 3: Cross multiply
    13,194.36x = 19,822.50 × 12,447.12
  4. Step 4: Simplify right side
    13,194.36x = 246,733,036.20
  5. Step 5: Solve for x
    x = 246,733,036.20/13,194.36
  6. Step 6: Final answer
    x = 18,699.89

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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.