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Finding the Fourth Proportional to 27,188.40, 40,779.96 and 7,469.88

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Solution

The fourth proportional to 27,188.40, 40,779.96 and 7,469.88 is: 11,204.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,188.40 : 40,779.96 = 7,469.88 : x
  2. Step 2: Convert to fraction form
    27,188.40/40,779.96 = 7,469.88/x
  3. Step 3: Cross multiply
    27,188.40x = 40,779.96 × 7,469.88
  4. Step 4: Simplify right side
    27,188.40x = 304,621,407.60
  5. Step 5: Solve for x
    x = 304,621,407.60/27,188.40
  6. Step 6: Final answer
    x = 11,204.09

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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.