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Finding the Fourth Proportional to 25,876.45, 35,709.01 and 16,314.40

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Solution

The fourth proportional to 25,876.45, 35,709.01 and 16,314.40 is: 22,513.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,876.45 : 35,709.01 = 16,314.40 : x
  2. Step 2: Convert to fraction form
    25,876.45/35,709.01 = 16,314.40/x
  3. Step 3: Cross multiply
    25,876.45x = 35,709.01 × 16,314.40
  4. Step 4: Simplify right side
    25,876.45x = 582,571,072.74
  5. Step 5: Solve for x
    x = 582,571,072.74/25,876.45
  6. Step 6: Final answer
    x = 22,513.56

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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.