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Finding the Fourth Proportional to 27,009.88, 40,519.14 and 11,427.64

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Solution

The fourth proportional to 27,009.88, 40,519.14 and 11,427.64 is: 17,143.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,009.88 : 40,519.14 = 11,427.64 : x
  2. Step 2: Convert to fraction form
    27,009.88/40,519.14 = 11,427.64/x
  3. Step 3: Cross multiply
    27,009.88x = 40,519.14 × 11,427.64
  4. Step 4: Simplify right side
    27,009.88x = 463,038,145.03
  5. Step 5: Solve for x
    x = 463,038,145.03/27,009.88
  6. Step 6: Final answer
    x = 17,143.29

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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.