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Finding the Fourth Proportional to 12,192.24, 16,826.96 and 7,018

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Solution

The fourth proportional to 12,192.24, 16,826.96 and 7,018 is: 9,685.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,192.24 : 16,826.96 = 7,018 : x
  2. Step 2: Convert to fraction form
    12,192.24/16,826.96 = 7,018/x
  3. Step 3: Cross multiply
    12,192.24x = 16,826.96 × 7,018
  4. Step 4: Simplify right side
    12,192.24x = 118,091,605.28
  5. Step 5: Solve for x
    x = 118,091,605.28/12,192.24
  6. Step 6: Final answer
    x = 9,685.80

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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.