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Finding the Fourth Proportional to 25,900.80, 35,742.72 and 14,569.44

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Solution

The fourth proportional to 25,900.80, 35,742.72 and 14,569.44 is: 20,105.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,900.80 : 35,742.72 = 14,569.44 : x
  2. Step 2: Convert to fraction form
    25,900.80/35,742.72 = 14,569.44/x
  3. Step 3: Cross multiply
    25,900.80x = 35,742.72 × 14,569.44
  4. Step 4: Simplify right side
    25,900.80x = 520,751,414.48
  5. Step 5: Solve for x
    x = 520,751,414.48/25,900.80
  6. Step 6: Final answer
    x = 20,105.61

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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.