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Finding the Fourth Proportional to 18,472.20, 27,725.70 and 9,713.40

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Solution

The fourth proportional to 18,472.20, 27,725.70 and 9,713.40 is: 14,579.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,472.20 : 27,725.70 = 9,713.40 : x
  2. Step 2: Convert to fraction form
    18,472.20/27,725.70 = 9,713.40/x
  3. Step 3: Cross multiply
    18,472.20x = 27,725.70 × 9,713.40
  4. Step 4: Simplify right side
    18,472.20x = 269,310,814.38
  5. Step 5: Solve for x
    x = 269,310,814.38/18,472.20
  6. Step 6: Final answer
    x = 14,579.25

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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.