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Finding the Fourth Proportional to 27,549.47, 41,323.23 and 11,967.09

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Solution

The fourth proportional to 27,549.47, 41,323.23 and 11,967.09 is: 17,950.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,549.47 : 41,323.23 = 11,967.09 : x
  2. Step 2: Convert to fraction form
    27,549.47/41,323.23 = 11,967.09/x
  3. Step 3: Cross multiply
    27,549.47x = 41,323.23 × 11,967.09
  4. Step 4: Simplify right side
    27,549.47x = 494,518,812.50
  5. Step 5: Solve for x
    x = 494,518,812.50/27,549.47
  6. Step 6: Final answer
    x = 17,950.21

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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.