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Finding the Fourth Proportional to 13,447.68, 20,168.81 and 12,780.84

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Solution

The fourth proportional to 13,447.68, 20,168.81 and 12,780.84 is: 19,168.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,447.68 : 20,168.81 = 12,780.84 : x
  2. Step 2: Convert to fraction form
    13,447.68/20,168.81 = 12,780.84/x
  3. Step 3: Cross multiply
    13,447.68x = 20,168.81 × 12,780.84
  4. Step 4: Simplify right side
    13,447.68x = 257,774,333.60
  5. Step 5: Solve for x
    x = 257,774,333.60/13,447.68
  6. Step 6: Final answer
    x = 19,168.68

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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.