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Finding the Fourth Proportional to 25,539.57, 35,245.94 and 14,209.11

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Solution

The fourth proportional to 25,539.57, 35,245.94 and 14,209.11 is: 19,609.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,539.57 : 35,245.94 = 14,209.11 : x
  2. Step 2: Convert to fraction form
    25,539.57/35,245.94 = 14,209.11/x
  3. Step 3: Cross multiply
    25,539.57x = 35,245.94 × 14,209.11
  4. Step 4: Simplify right side
    25,539.57x = 500,813,367.47
  5. Step 5: Solve for x
    x = 500,813,367.47/25,539.57
  6. Step 6: Final answer
    x = 19,609.31

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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.