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Finding the Fourth Proportional to 12,206.79, 18,312.84 and 5,192.79

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Solution

The fourth proportional to 12,206.79, 18,312.84 and 5,192.79 is: 7,790.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,206.79 : 18,312.84 = 5,192.79 : x
  2. Step 2: Convert to fraction form
    12,206.79/18,312.84 = 5,192.79/x
  3. Step 3: Cross multiply
    12,206.79x = 18,312.84 × 5,192.79
  4. Step 4: Simplify right side
    12,206.79x = 95,094,732.42
  5. Step 5: Solve for x
    x = 95,094,732.42/12,206.79
  6. Step 6: Final answer
    x = 7,790.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.