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Finding the Fourth Proportional to 27,011.20, 40,504.64 and 11,420.80

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Solution

The fourth proportional to 27,011.20, 40,504.64 and 11,420.80 is: 17,126.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,011.20 : 40,504.64 = 11,420.80 : x
  2. Step 2: Convert to fraction form
    27,011.20/40,504.64 = 11,420.80/x
  3. Step 3: Cross multiply
    27,011.20x = 40,504.64 × 11,420.80
  4. Step 4: Simplify right side
    27,011.20x = 462,595,392.51
  5. Step 5: Solve for x
    x = 462,595,392.51/27,011.20
  6. Step 6: Final answer
    x = 17,126.06

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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.