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Finding the Fourth Proportional to 13,543.34, 20,291.76 and 12,173.78

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Solution

The fourth proportional to 13,543.34, 20,291.76 and 12,173.78 is: 18,239.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,543.34 : 20,291.76 = 12,173.78 : x
  2. Step 2: Convert to fraction form
    13,543.34/20,291.76 = 12,173.78/x
  3. Step 3: Cross multiply
    13,543.34x = 20,291.76 × 12,173.78
  4. Step 4: Simplify right side
    13,543.34x = 247,027,422.05
  5. Step 5: Solve for x
    x = 247,027,422.05/13,543.34
  6. Step 6: Final answer
    x = 18,239.77

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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.