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Finding the Fourth Proportional to 25,841.82, 35,659.08 and 14,512.59

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Solution

The fourth proportional to 25,841.82, 35,659.08 and 14,512.59 is: 20,025.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,841.82 : 35,659.08 = 14,512.59 : x
  2. Step 2: Convert to fraction form
    25,841.82/35,659.08 = 14,512.59/x
  3. Step 3: Cross multiply
    25,841.82x = 35,659.08 × 14,512.59
  4. Step 4: Simplify right side
    25,841.82x = 517,505,607.82
  5. Step 5: Solve for x
    x = 517,505,607.82/25,841.82
  6. Step 6: Final answer
    x = 20,025.90

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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.