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Finding the Fourth Proportional to 13,021, 17,968.98 and 7,431.88

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Solution

The fourth proportional to 13,021, 17,968.98 and 7,431.88 is: 10,255.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,021 : 17,968.98 = 7,431.88 : x
  2. Step 2: Convert to fraction form
    13,021/17,968.98 = 7,431.88/x
  3. Step 3: Cross multiply
    13,021x = 17,968.98 × 7,431.88
  4. Step 4: Simplify right side
    13,021x = 133,543,303.08
  5. Step 5: Solve for x
    x = 133,543,303.08/13,021
  6. Step 6: Final answer
    x = 10,255.99

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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.