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Finding the Fourth Proportional to 25,874.37, 35,707.64 and 14,544.09

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Solution

The fourth proportional to 25,874.37, 35,707.64 and 14,544.09 is: 20,071.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,874.37 : 35,707.64 = 14,544.09 : x
  2. Step 2: Convert to fraction form
    25,874.37/35,707.64 = 14,544.09/x
  3. Step 3: Cross multiply
    25,874.37x = 35,707.64 × 14,544.09
  4. Step 4: Simplify right side
    25,874.37x = 519,335,057.13
  5. Step 5: Solve for x
    x = 519,335,057.13/25,874.37
  6. Step 6: Final answer
    x = 20,071.41

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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.