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Finding the Fourth Proportional to 13,546.32, 20,313 and 5,750.88

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Solution

The fourth proportional to 13,546.32, 20,313 and 5,750.88 is: 8,623.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,546.32 : 20,313 = 5,750.88 : x
  2. Step 2: Convert to fraction form
    13,546.32/20,313 = 5,750.88/x
  3. Step 3: Cross multiply
    13,546.32x = 20,313 × 5,750.88
  4. Step 4: Simplify right side
    13,546.32x = 116,817,625.44
  5. Step 5: Solve for x
    x = 116,817,625.44/13,546.32
  6. Step 6: Final answer
    x = 8,623.57

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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.