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Finding the Fourth Proportional to 25,170, 34,734.60 and 13,994.16

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Solution

The fourth proportional to 25,170, 34,734.60 and 13,994.16 is: 19,311.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,170 : 34,734.60 = 13,994.16 : x
  2. Step 2: Convert to fraction form
    25,170/34,734.60 = 13,994.16/x
  3. Step 3: Cross multiply
    25,170x = 34,734.60 × 13,994.16
  4. Step 4: Simplify right side
    25,170x = 486,081,549.94
  5. Step 5: Solve for x
    x = 486,081,549.94/25,170
  6. Step 6: Final answer
    x = 19,311.94

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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.