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Finding the Fourth Proportional to 13,314.88, 18,372 and 9,121.60

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Solution

The fourth proportional to 13,314.88, 18,372 and 9,121.60 is: 12,586.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,314.88 : 18,372 = 9,121.60 : x
  2. Step 2: Convert to fraction form
    13,314.88/18,372 = 9,121.60/x
  3. Step 3: Cross multiply
    13,314.88x = 18,372 × 9,121.60
  4. Step 4: Simplify right side
    13,314.88x = 167,582,035.20
  5. Step 5: Solve for x
    x = 167,582,035.20/13,314.88
  6. Step 6: Final answer
    x = 12,586.07

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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.