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Finding the Fourth Proportional to 12,192.90, 16,826.02 and 6,889.42

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Solution

The fourth proportional to 12,192.90, 16,826.02 and 6,889.42 is: 9,507.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,192.90 : 16,826.02 = 6,889.42 : x
  2. Step 2: Convert to fraction form
    12,192.90/16,826.02 = 6,889.42/x
  3. Step 3: Cross multiply
    12,192.90x = 16,826.02 × 6,889.42
  4. Step 4: Simplify right side
    12,192.90x = 115,921,518.71
  5. Step 5: Solve for x
    x = 115,921,518.71/12,192.90
  6. Step 6: Final answer
    x = 9,507.30

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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.