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Finding the Fourth Proportional to 13,039.98, 17,995.05 and 7,071.78

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Solution

The fourth proportional to 13,039.98, 17,995.05 and 7,071.78 is: 9,758.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,039.98 : 17,995.05 = 7,071.78 : x
  2. Step 2: Convert to fraction form
    13,039.98/17,995.05 = 7,071.78/x
  3. Step 3: Cross multiply
    13,039.98x = 17,995.05 × 7,071.78
  4. Step 4: Simplify right side
    13,039.98x = 127,257,034.69
  5. Step 5: Solve for x
    x = 127,257,034.69/13,039.98
  6. Step 6: Final answer
    x = 9,758.99

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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.