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Finding the Fourth Proportional to 12,539.69, 17,304.76 and 6,874.38

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Solution

The fourth proportional to 12,539.69, 17,304.76 and 6,874.38 is: 9,486.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,539.69 : 17,304.76 = 6,874.38 : x
  2. Step 2: Convert to fraction form
    12,539.69/17,304.76 = 6,874.38/x
  3. Step 3: Cross multiply
    12,539.69x = 17,304.76 × 6,874.38
  4. Step 4: Simplify right side
    12,539.69x = 118,959,478.86
  5. Step 5: Solve for x
    x = 118,959,478.86/12,539.69
  6. Step 6: Final answer
    x = 9,486.64

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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.