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Finding the Fourth Proportional to 12,154.56, 16,757.94 and 9,914.16

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Solution

The fourth proportional to 12,154.56, 16,757.94 and 9,914.16 is: 13,669.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,154.56 : 16,757.94 = 9,914.16 : x
  2. Step 2: Convert to fraction form
    12,154.56/16,757.94 = 9,914.16/x
  3. Step 3: Cross multiply
    12,154.56x = 16,757.94 × 9,914.16
  4. Step 4: Simplify right side
    12,154.56x = 166,140,898.43
  5. Step 5: Solve for x
    x = 166,140,898.43/12,154.56
  6. Step 6: Final answer
    x = 13,669.02

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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.