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Finding the Fourth Proportional to 12,533.69, 17,296.50 and 7,498.12

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Solution

The fourth proportional to 12,533.69, 17,296.50 and 7,498.12 is: 10,347.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,533.69 : 17,296.50 = 7,498.12 : x
  2. Step 2: Convert to fraction form
    12,533.69/17,296.50 = 7,498.12/x
  3. Step 3: Cross multiply
    12,533.69x = 17,296.50 × 7,498.12
  4. Step 4: Simplify right side
    12,533.69x = 129,691,195.09
  5. Step 5: Solve for x
    x = 129,691,195.09/12,533.69
  6. Step 6: Final answer
    x = 10,347.41

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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.