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Finding the Fourth Proportional to 12,349.20, 17,042.07 and 6,971.94

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Solution

The fourth proportional to 12,349.20, 17,042.07 and 6,971.94 is: 9,621.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,349.20 : 17,042.07 = 6,971.94 : x
  2. Step 2: Convert to fraction form
    12,349.20/17,042.07 = 6,971.94/x
  3. Step 3: Cross multiply
    12,349.20x = 17,042.07 × 6,971.94
  4. Step 4: Simplify right side
    12,349.20x = 118,816,289.52
  5. Step 5: Solve for x
    x = 118,816,289.52/12,349.20
  6. Step 6: Final answer
    x = 9,621.38

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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.