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Finding the Fourth Proportional to 12,834.08, 17,710.89 and 7,168.47

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Solution

The fourth proportional to 12,834.08, 17,710.89 and 7,168.47 is: 9,892.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,834.08 : 17,710.89 = 7,168.47 : x
  2. Step 2: Convert to fraction form
    12,834.08/17,710.89 = 7,168.47/x
  3. Step 3: Cross multiply
    12,834.08x = 17,710.89 × 7,168.47
  4. Step 4: Simplify right side
    12,834.08x = 126,959,890.34
  5. Step 5: Solve for x
    x = 126,959,890.34/12,834.08
  6. Step 6: Final answer
    x = 9,892.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.