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Finding the Fourth Proportional to 19,694.06, 29,471.70 and 12,302

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Solution

The fourth proportional to 19,694.06, 29,471.70 and 12,302 is: 18,409.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,694.06 : 29,471.70 = 12,302 : x
  2. Step 2: Convert to fraction form
    19,694.06/29,471.70 = 12,302/x
  3. Step 3: Cross multiply
    19,694.06x = 29,471.70 × 12,302
  4. Step 4: Simplify right side
    19,694.06x = 362,560,853.40
  5. Step 5: Solve for x
    x = 362,560,853.40/19,694.06
  6. Step 6: Final answer
    x = 18,409.66

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Why These Related Problems?

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