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Finding the Fourth Proportional to 13,380.96, 18,486.72 and 9,211.44

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Solution

The fourth proportional to 13,380.96, 18,486.72 and 9,211.44 is: 12,726.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,380.96 : 18,486.72 = 9,211.44 : x
  2. Step 2: Convert to fraction form
    13,380.96/18,486.72 = 9,211.44/x
  3. Step 3: Cross multiply
    13,380.96x = 18,486.72 × 9,211.44
  4. Step 4: Simplify right side
    13,380.96x = 170,289,312.08
  5. Step 5: Solve for x
    x = 170,289,312.08/13,380.96
  6. Step 6: Final answer
    x = 12,726.24

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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.