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Finding the Fourth Proportional to 27,142.14, 40,713.25 and 7,420.87

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Solution

The fourth proportional to 27,142.14, 40,713.25 and 7,420.87 is: 11,131.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,142.14 : 40,713.25 = 7,420.87 : x
  2. Step 2: Convert to fraction form
    27,142.14/40,713.25 = 7,420.87/x
  3. Step 3: Cross multiply
    27,142.14x = 40,713.25 × 7,420.87
  4. Step 4: Simplify right side
    27,142.14x = 302,127,735.53
  5. Step 5: Solve for x
    x = 302,127,735.53/27,142.14
  6. Step 6: Final answer
    x = 11,131.32

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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.