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Finding the Fourth Proportional to 11,995.92, 16,539.66 and 9,864

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Solution

The fourth proportional to 11,995.92, 16,539.66 and 9,864 is: 13,600.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,995.92 : 16,539.66 = 9,864 : x
  2. Step 2: Convert to fraction form
    11,995.92/16,539.66 = 9,864/x
  3. Step 3: Cross multiply
    11,995.92x = 16,539.66 × 9,864
  4. Step 4: Simplify right side
    11,995.92x = 163,147,206.24
  5. Step 5: Solve for x
    x = 163,147,206.24/11,995.92
  6. Step 6: Final answer
    x = 13,600.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.