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Finding the Fourth Proportional to 16,493.37, 24,742.49 and 4,807.50

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Solution

The fourth proportional to 16,493.37, 24,742.49 and 4,807.50 is: 7,211.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,493.37 : 24,742.49 = 4,807.50 : x
  2. Step 2: Convert to fraction form
    16,493.37/24,742.49 = 4,807.50/x
  3. Step 3: Cross multiply
    16,493.37x = 24,742.49 × 4,807.50
  4. Step 4: Simplify right side
    16,493.37x = 118,949,496.64
  5. Step 5: Solve for x
    x = 118,949,496.64/16,493.37
  6. Step 6: Final answer
    x = 7,211.96

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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.