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Finding the Fourth Proportional to 12,296.16, 16,968.21 and 7,262.00

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Solution

The fourth proportional to 12,296.16, 16,968.21 and 7,262.00 is: 10,021.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,296.16 : 16,968.21 = 7,262.00 : x
  2. Step 2: Convert to fraction form
    12,296.16/16,968.21 = 7,262.00/x
  3. Step 3: Cross multiply
    12,296.16x = 16,968.21 × 7,262.00
  4. Step 4: Simplify right side
    12,296.16x = 123,223,165.29
  5. Step 5: Solve for x
    x = 123,223,165.29/12,296.16
  6. Step 6: Final answer
    x = 10,021.27

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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.