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Finding the Fourth Proportional to 25,496.75, 35,191.14 and 14,170.14

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Solution

The fourth proportional to 25,496.75, 35,191.14 and 14,170.14 is: 19,557.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,496.75 : 35,191.14 = 14,170.14 : x
  2. Step 2: Convert to fraction form
    25,496.75/35,191.14 = 14,170.14/x
  3. Step 3: Cross multiply
    25,496.75x = 35,191.14 × 14,170.14
  4. Step 4: Simplify right side
    25,496.75x = 498,663,133.75
  5. Step 5: Solve for x
    x = 498,663,133.75/25,496.75
  6. Step 6: Final answer
    x = 19,557.91

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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.