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Finding the Fourth Proportional to 13,494.94, 18,641.16 and 12,237.42

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Solution

The fourth proportional to 13,494.94, 18,641.16 and 12,237.42 is: 16,904.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,494.94 : 18,641.16 = 12,237.42 : x
  2. Step 2: Convert to fraction form
    13,494.94/18,641.16 = 12,237.42/x
  3. Step 3: Cross multiply
    13,494.94x = 18,641.16 × 12,237.42
  4. Step 4: Simplify right side
    13,494.94x = 228,119,704.21
  5. Step 5: Solve for x
    x = 228,119,704.21/13,494.94
  6. Step 6: Final answer
    x = 16,904.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.