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Finding the Fourth Proportional to 27,257.60, 40,886.40 and 11,676.80

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Solution

The fourth proportional to 27,257.60, 40,886.40 and 11,676.80 is: 17,515.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,257.60 : 40,886.40 = 11,676.80 : x
  2. Step 2: Convert to fraction form
    27,257.60/40,886.40 = 11,676.80/x
  3. Step 3: Cross multiply
    27,257.60x = 40,886.40 × 11,676.80
  4. Step 4: Simplify right side
    27,257.60x = 477,422,315.52
  5. Step 5: Solve for x
    x = 477,422,315.52/27,257.60
  6. Step 6: Final answer
    x = 17,515.20

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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.