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Finding the Fourth Proportional to 12,834.60, 17,709.84 and 7,796.16

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Solution

The fourth proportional to 12,834.60, 17,709.84 and 7,796.16 is: 10,757.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,834.60 : 17,709.84 = 7,796.16 : x
  2. Step 2: Convert to fraction form
    12,834.60/17,709.84 = 7,796.16/x
  3. Step 3: Cross multiply
    12,834.60x = 17,709.84 × 7,796.16
  4. Step 4: Simplify right side
    12,834.60x = 138,068,746.21
  5. Step 5: Solve for x
    x = 138,068,746.21/12,834.60
  6. Step 6: Final answer
    x = 10,757.54

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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.