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Finding the Fourth Proportional to 12,834.74, 17,711.16 and 7,456.34

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Solution

The fourth proportional to 12,834.74, 17,711.16 and 7,456.34 is: 10,289.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,834.74 : 17,711.16 = 7,456.34 : x
  2. Step 2: Convert to fraction form
    12,834.74/17,711.16 = 7,456.34/x
  3. Step 3: Cross multiply
    12,834.74x = 17,711.16 × 7,456.34
  4. Step 4: Simplify right side
    12,834.74x = 132,060,430.75
  5. Step 5: Solve for x
    x = 132,060,430.75/12,834.74
  6. Step 6: Final answer
    x = 10,289.30

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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.