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Finding the Fourth Proportional to 12,533.78, 17,296.62 and 7,498.22

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Solution

The fourth proportional to 12,533.78, 17,296.62 and 7,498.22 is: 10,347.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,533.78 : 17,296.62 = 7,498.22 : x
  2. Step 2: Convert to fraction form
    12,533.78/17,296.62 = 7,498.22/x
  3. Step 3: Cross multiply
    12,533.78x = 17,296.62 × 7,498.22
  4. Step 4: Simplify right side
    12,533.78x = 129,693,775.53
  5. Step 5: Solve for x
    x = 129,693,775.53/12,533.78
  6. Step 6: Final answer
    x = 10,347.54

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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.