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Finding the Fourth Proportional to 18,409.55, 27,642.02 and 11,046.96

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Solution

The fourth proportional to 18,409.55, 27,642.02 and 11,046.96 is: 16,587.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,409.55 : 27,642.02 = 11,046.96 : x
  2. Step 2: Convert to fraction form
    18,409.55/27,642.02 = 11,046.96/x
  3. Step 3: Cross multiply
    18,409.55x = 27,642.02 × 11,046.96
  4. Step 4: Simplify right side
    18,409.55x = 305,360,289.26
  5. Step 5: Solve for x
    x = 305,360,289.26/18,409.55
  6. Step 6: Final answer
    x = 16,587.06

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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.