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Finding the Fourth Proportional to 13,001, 17,934.09 and 7,967.66

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Solution

The fourth proportional to 13,001, 17,934.09 and 7,967.66 is: 10,990.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,001 : 17,934.09 = 7,967.66 : x
  2. Step 2: Convert to fraction form
    13,001/17,934.09 = 7,967.66/x
  3. Step 3: Cross multiply
    13,001x = 17,934.09 × 7,967.66
  4. Step 4: Simplify right side
    13,001x = 142,892,731.53
  5. Step 5: Solve for x
    x = 142,892,731.53/13,001
  6. Step 6: Final answer
    x = 10,990.90

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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.