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Finding the Fourth Proportional to 18,576.83, 27,869.35 and 9,809.70

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Solution

The fourth proportional to 18,576.83, 27,869.35 and 9,809.70 is: 14,716.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,576.83 : 27,869.35 = 9,809.70 : x
  2. Step 2: Convert to fraction form
    18,576.83/27,869.35 = 9,809.70/x
  3. Step 3: Cross multiply
    18,576.83x = 27,869.35 × 9,809.70
  4. Step 4: Simplify right side
    18,576.83x = 273,389,962.70
  5. Step 5: Solve for x
    x = 273,389,962.70/18,576.83
  6. Step 6: Final answer
    x = 14,716.72

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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.