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Finding the Fourth Proportional to 16,548.50, 24,822.75 and 4,236.50

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Solution

The fourth proportional to 16,548.50, 24,822.75 and 4,236.50 is: 6,354.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,548.50 : 24,822.75 = 4,236.50 : x
  2. Step 2: Convert to fraction form
    16,548.50/24,822.75 = 4,236.50/x
  3. Step 3: Cross multiply
    16,548.50x = 24,822.75 × 4,236.50
  4. Step 4: Simplify right side
    16,548.50x = 105,161,580.38
  5. Step 5: Solve for x
    x = 105,161,580.38/16,548.50
  6. Step 6: Final answer
    x = 6,354.75

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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.