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Finding the Fourth Proportional to 12,834.46, 17,712.26 and 7,169.34

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Solution

The fourth proportional to 12,834.46, 17,712.26 and 7,169.34 is: 9,894.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,834.46 : 17,712.26 = 7,169.34 : x
  2. Step 2: Convert to fraction form
    12,834.46/17,712.26 = 7,169.34/x
  3. Step 3: Cross multiply
    12,834.46x = 17,712.26 × 7,169.34
  4. Step 4: Simplify right side
    12,834.46x = 126,985,214.11
  5. Step 5: Solve for x
    x = 126,985,214.11/12,834.46
  6. Step 6: Final answer
    x = 9,894.08

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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.