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Finding the Fourth Proportional to 12,834.16, 17,711.60 and 7,245.04

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Solution

The fourth proportional to 12,834.16, 17,711.60 and 7,245.04 is: 9,998.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,834.16 : 17,711.60 = 7,245.04 : x
  2. Step 2: Convert to fraction form
    12,834.16/17,711.60 = 7,245.04/x
  3. Step 3: Cross multiply
    12,834.16x = 17,711.60 × 7,245.04
  4. Step 4: Simplify right side
    12,834.16x = 128,321,250.46
  5. Step 5: Solve for x
    x = 128,321,250.46/12,834.16
  6. Step 6: Final answer
    x = 9,998.41

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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.