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Finding the Fourth Proportional to 27,131.45, 40,714.47 and 11,549.07

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Solution

The fourth proportional to 27,131.45, 40,714.47 and 11,549.07 is: 17,330.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,131.45 : 40,714.47 = 11,549.07 : x
  2. Step 2: Convert to fraction form
    27,131.45/40,714.47 = 11,549.07/x
  3. Step 3: Cross multiply
    27,131.45x = 40,714.47 × 11,549.07
  4. Step 4: Simplify right side
    27,131.45x = 470,214,264.04
  5. Step 5: Solve for x
    x = 470,214,264.04/27,131.45
  6. Step 6: Final answer
    x = 17,330.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.