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Finding the Fourth Proportional to 26,546.32, 39,811.38 and 9,012.25

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Solution

The fourth proportional to 26,546.32, 39,811.38 and 9,012.25 is: 13,515.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,546.32 : 39,811.38 = 9,012.25 : x
  2. Step 2: Convert to fraction form
    26,546.32/39,811.38 = 9,012.25/x
  3. Step 3: Cross multiply
    26,546.32x = 39,811.38 × 9,012.25
  4. Step 4: Simplify right side
    26,546.32x = 358,790,109.41
  5. Step 5: Solve for x
    x = 358,790,109.41/26,546.32
  6. Step 6: Final answer
    x = 13,515.63

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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.