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Finding the Fourth Proportional to 25,794.14, 35,595.90 and 14,616.14

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Solution

The fourth proportional to 25,794.14, 35,595.90 and 14,616.14 is: 20,170.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,794.14 : 35,595.90 = 14,616.14 : x
  2. Step 2: Convert to fraction form
    25,794.14/35,595.90 = 14,616.14/x
  3. Step 3: Cross multiply
    25,794.14x = 35,595.90 × 14,616.14
  4. Step 4: Simplify right side
    25,794.14x = 520,274,657.83
  5. Step 5: Solve for x
    x = 520,274,657.83/25,794.14
  6. Step 6: Final answer
    x = 20,170.27

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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.