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Finding the Fourth Proportional to 27,609, 41,415.66 and 9,141

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Solution

The fourth proportional to 27,609, 41,415.66 and 9,141 is: 13,712.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,609 : 41,415.66 = 9,141 : x
  2. Step 2: Convert to fraction form
    27,609/41,415.66 = 9,141/x
  3. Step 3: Cross multiply
    27,609x = 41,415.66 × 9,141
  4. Step 4: Simplify right side
    27,609x = 378,580,548.06
  5. Step 5: Solve for x
    x = 378,580,548.06/27,609
  6. Step 6: Final answer
    x = 13,712.22

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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.