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Finding the Fourth Proportional to 13,498.94, 18,646.70 and 12,241.41

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Solution

The fourth proportional to 13,498.94, 18,646.70 and 12,241.41 is: 16,909.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,498.94 : 18,646.70 = 12,241.41 : x
  2. Step 2: Convert to fraction form
    13,498.94/18,646.70 = 12,241.41/x
  3. Step 3: Cross multiply
    13,498.94x = 18,646.70 × 12,241.41
  4. Step 4: Simplify right side
    13,498.94x = 228,261,838.64
  5. Step 5: Solve for x
    x = 228,261,838.64/13,498.94
  6. Step 6: Final answer
    x = 16,909.62

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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.