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Finding the Fourth Proportional to 27,145.80, 40,713.30 and 13,105.80

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Solution

The fourth proportional to 27,145.80, 40,713.30 and 13,105.80 is: 19,656.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,145.80 : 40,713.30 = 13,105.80 : x
  2. Step 2: Convert to fraction form
    27,145.80/40,713.30 = 13,105.80/x
  3. Step 3: Cross multiply
    27,145.80x = 40,713.30 × 13,105.80
  4. Step 4: Simplify right side
    27,145.80x = 533,580,367.14
  5. Step 5: Solve for x
    x = 533,580,367.14/27,145.80
  6. Step 6: Final answer
    x = 19,656.09

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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.