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Finding the Fourth Proportional to 25,920.80, 35,770.32 and 14,589.44

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Solution

The fourth proportional to 25,920.80, 35,770.32 and 14,589.44 is: 20,133.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,920.80 : 35,770.32 = 14,589.44 : x
  2. Step 2: Convert to fraction form
    25,920.80/35,770.32 = 14,589.44/x
  3. Step 3: Cross multiply
    25,920.80x = 35,770.32 × 14,589.44
  4. Step 4: Simplify right side
    25,920.80x = 521,868,937.42
  5. Step 5: Solve for x
    x = 521,868,937.42/25,920.80
  6. Step 6: Final answer
    x = 20,133.21

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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.