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Finding the Fourth Proportional to 13,001, 17,944.58 and 7,415.24

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Solution

The fourth proportional to 13,001, 17,944.58 and 7,415.24 is: 10,234.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,001 : 17,944.58 = 7,415.24 : x
  2. Step 2: Convert to fraction form
    13,001/17,944.58 = 7,415.24/x
  3. Step 3: Cross multiply
    13,001x = 17,944.58 × 7,415.24
  4. Step 4: Simplify right side
    13,001x = 133,063,367.40
  5. Step 5: Solve for x
    x = 133,063,367.40/13,001
  6. Step 6: Final answer
    x = 10,234.86

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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.