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Finding the Fourth Proportional to 25,896.62, 35,736.98 and 14,566.11

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Solution

The fourth proportional to 25,896.62, 35,736.98 and 14,566.11 is: 20,101.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,896.62 : 35,736.98 = 14,566.11 : x
  2. Step 2: Convert to fraction form
    25,896.62/35,736.98 = 14,566.11/x
  3. Step 3: Cross multiply
    25,896.62x = 35,736.98 × 14,566.11
  4. Step 4: Simplify right side
    25,896.62x = 520,548,708.92
  5. Step 5: Solve for x
    x = 520,548,708.92/25,896.62
  6. Step 6: Final answer
    x = 20,101.03

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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.