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Finding the Fourth Proportional to 25,941.96, 35,796.09 and 14,609.20

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Solution

The fourth proportional to 25,941.96, 35,796.09 and 14,609.20 is: 20,158.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,941.96 : 35,796.09 = 14,609.20 : x
  2. Step 2: Convert to fraction form
    25,941.96/35,796.09 = 14,609.20/x
  3. Step 3: Cross multiply
    25,941.96x = 35,796.09 × 14,609.20
  4. Step 4: Simplify right side
    25,941.96x = 522,952,238.03
  5. Step 5: Solve for x
    x = 522,952,238.03/25,941.96
  6. Step 6: Final answer
    x = 20,158.55

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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.