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Finding the Fourth Proportional to 14,609.40, 20,153.75 and 9,157.49

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Solution

The fourth proportional to 14,609.40, 20,153.75 and 9,157.49 is: 12,632.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,609.40 : 20,153.75 = 9,157.49 : x
  2. Step 2: Convert to fraction form
    14,609.40/20,153.75 = 9,157.49/x
  3. Step 3: Cross multiply
    14,609.40x = 20,153.75 × 9,157.49
  4. Step 4: Simplify right side
    14,609.40x = 184,557,764.09
  5. Step 5: Solve for x
    x = 184,557,764.09/14,609.40
  6. Step 6: Final answer
    x = 12,632.81

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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.