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Finding the Fourth Proportional to 11,785.52, 17,674.50 and 11,009

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Solution

The fourth proportional to 11,785.52, 17,674.50 and 11,009 is: 16,509.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785.52 : 17,674.50 = 11,009 : x
  2. Step 2: Convert to fraction form
    11,785.52/17,674.50 = 11,009/x
  3. Step 3: Cross multiply
    11,785.52x = 17,674.50 × 11,009
  4. Step 4: Simplify right side
    11,785.52x = 194,578,570.50
  5. Step 5: Solve for x
    x = 194,578,570.50/11,785.52
  6. Step 6: Final answer
    x = 16,509.97

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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.