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Finding the Fourth Proportional to 27,623, 41,440.98 and 9,155

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Solution

The fourth proportional to 27,623, 41,440.98 and 9,155 is: 13,734.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,623 : 41,440.98 = 9,155 : x
  2. Step 2: Convert to fraction form
    27,623/41,440.98 = 9,155/x
  3. Step 3: Cross multiply
    27,623x = 41,440.98 × 9,155
  4. Step 4: Simplify right side
    27,623x = 379,392,171.90
  5. Step 5: Solve for x
    x = 379,392,171.90/27,623
  6. Step 6: Final answer
    x = 13,734.65

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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.