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Finding the Fourth Proportional to 11,342.25, 17,016.06 and 11,154

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Solution

The fourth proportional to 11,342.25, 17,016.06 and 11,154 is: 16,733.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,342.25 : 17,016.06 = 11,154 : x
  2. Step 2: Convert to fraction form
    11,342.25/17,016.06 = 11,154/x
  3. Step 3: Cross multiply
    11,342.25x = 17,016.06 × 11,154
  4. Step 4: Simplify right side
    11,342.25x = 189,797,133.24
  5. Step 5: Solve for x
    x = 189,797,133.24/11,342.25
  6. Step 6: Final answer
    x = 16,733.64

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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.