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Finding the Fourth Proportional to 12,296.39, 16,968.12 and 7,260.35

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Solution

The fourth proportional to 12,296.39, 16,968.12 and 7,260.35 is: 10,018.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,296.39 : 16,968.12 = 7,260.35 : x
  2. Step 2: Convert to fraction form
    12,296.39/16,968.12 = 7,260.35/x
  3. Step 3: Cross multiply
    12,296.39x = 16,968.12 × 7,260.35
  4. Step 4: Simplify right side
    12,296.39x = 123,194,405.20
  5. Step 5: Solve for x
    x = 123,194,405.20/12,296.39
  6. Step 6: Final answer
    x = 10,018.75

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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.