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Finding the Fourth Proportional to 25,616.53, 35,351 and 14,286.75

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Solution

The fourth proportional to 25,616.53, 35,351 and 14,286.75 is: 19,715.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,616.53 : 35,351 = 14,286.75 : x
  2. Step 2: Convert to fraction form
    25,616.53/35,351 = 14,286.75/x
  3. Step 3: Cross multiply
    25,616.53x = 35,351 × 14,286.75
  4. Step 4: Simplify right side
    25,616.53x = 505,050,899.25
  5. Step 5: Solve for x
    x = 505,050,899.25/25,616.53
  6. Step 6: Final answer
    x = 19,715.82

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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.