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Finding the Fourth Proportional to 16,546.48, 24,757.75 and 9,858.51

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Solution

The fourth proportional to 16,546.48, 24,757.75 and 9,858.51 is: 14,750.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,546.48 : 24,757.75 = 9,858.51 : x
  2. Step 2: Convert to fraction form
    16,546.48/24,757.75 = 9,858.51/x
  3. Step 3: Cross multiply
    16,546.48x = 24,757.75 × 9,858.51
  4. Step 4: Simplify right side
    16,546.48x = 244,074,538.28
  5. Step 5: Solve for x
    x = 244,074,538.28/16,546.48
  6. Step 6: Final answer
    x = 14,750.85

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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.