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Finding the Fourth Proportional to 12,342.92, 18,510.54 and 4,133

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Solution

The fourth proportional to 12,342.92, 18,510.54 and 4,133 is: 6,198.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,342.92 : 18,510.54 = 4,133 : x
  2. Step 2: Convert to fraction form
    12,342.92/18,510.54 = 4,133/x
  3. Step 3: Cross multiply
    12,342.92x = 18,510.54 × 4,133
  4. Step 4: Simplify right side
    12,342.92x = 76,504,061.82
  5. Step 5: Solve for x
    x = 76,504,061.82/12,342.92
  6. Step 6: Final answer
    x = 6,198.21

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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.