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Finding the Fourth Proportional to 12,532.75, 17,296.67 and 7,496.91

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Solution

The fourth proportional to 12,532.75, 17,296.67 and 7,496.91 is: 10,346.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,532.75 : 17,296.67 = 7,496.91 : x
  2. Step 2: Convert to fraction form
    12,532.75/17,296.67 = 7,496.91/x
  3. Step 3: Cross multiply
    12,532.75x = 17,296.67 × 7,496.91
  4. Step 4: Simplify right side
    12,532.75x = 129,671,597.03
  5. Step 5: Solve for x
    x = 129,671,597.03/12,532.75
  6. Step 6: Final answer
    x = 10,346.62

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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.