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Finding the Fourth Proportional to 25,507.87, 38,229.39 and 14,420.77

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Solution

The fourth proportional to 25,507.87, 38,229.39 and 14,420.77 is: 21,612.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,507.87 : 38,229.39 = 14,420.77 : x
  2. Step 2: Convert to fraction form
    25,507.87/38,229.39 = 14,420.77/x
  3. Step 3: Cross multiply
    25,507.87x = 38,229.39 × 14,420.77
  4. Step 4: Simplify right side
    25,507.87x = 551,297,240.43
  5. Step 5: Solve for x
    x = 551,297,240.43/25,507.87
  6. Step 6: Final answer
    x = 21,612.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.