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Finding the Fourth Proportional to 12,304.05, 16,981.01 and 6,999.69

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Solution

The fourth proportional to 12,304.05, 16,981.01 and 6,999.69 is: 9,660.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,304.05 : 16,981.01 = 6,999.69 : x
  2. Step 2: Convert to fraction form
    12,304.05/16,981.01 = 6,999.69/x
  3. Step 3: Cross multiply
    12,304.05x = 16,981.01 × 6,999.69
  4. Step 4: Simplify right side
    12,304.05x = 118,861,805.89
  5. Step 5: Solve for x
    x = 118,861,805.89/12,304.05
  6. Step 6: Final answer
    x = 9,660.38

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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.