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Finding the Fourth Proportional to 16,548.84, 24,826.30 and 5,456.20

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Solution

The fourth proportional to 16,548.84, 24,826.30 and 5,456.20 is: 8,185.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,548.84 : 24,826.30 = 5,456.20 : x
  2. Step 2: Convert to fraction form
    16,548.84/24,826.30 = 5,456.20/x
  3. Step 3: Cross multiply
    16,548.84x = 24,826.30 × 5,456.20
  4. Step 4: Simplify right side
    16,548.84x = 135,457,258.06
  5. Step 5: Solve for x
    x = 135,457,258.06/16,548.84
  6. Step 6: Final answer
    x = 8,185.30

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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.