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Finding the Fourth Proportional to 13,543.56, 20,257.02 and 12,053.16

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Solution

The fourth proportional to 13,543.56, 20,257.02 and 12,053.16 is: 18,027.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,543.56 : 20,257.02 = 12,053.16 : x
  2. Step 2: Convert to fraction form
    13,543.56/20,257.02 = 12,053.16/x
  3. Step 3: Cross multiply
    13,543.56x = 20,257.02 × 12,053.16
  4. Step 4: Simplify right side
    13,543.56x = 244,161,103.18
  5. Step 5: Solve for x
    x = 244,161,103.18/13,543.56
  6. Step 6: Final answer
    x = 18,027.84

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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.