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Finding the Fourth Proportional to 11,884.20, 17,866.80 and 9,708.72

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Solution

The fourth proportional to 11,884.20, 17,866.80 and 9,708.72 is: 14,596.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,884.20 : 17,866.80 = 9,708.72 : x
  2. Step 2: Convert to fraction form
    11,884.20/17,866.80 = 9,708.72/x
  3. Step 3: Cross multiply
    11,884.20x = 17,866.80 × 9,708.72
  4. Step 4: Simplify right side
    11,884.20x = 173,463,758.50
  5. Step 5: Solve for x
    x = 173,463,758.50/11,884.20
  6. Step 6: Final answer
    x = 14,596.17

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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.