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Finding the Fourth Proportional to 16,534.16, 24,800.92 and 4,847.12

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Solution

The fourth proportional to 16,534.16, 24,800.92 and 4,847.12 is: 7,270.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,534.16 : 24,800.92 = 4,847.12 : x
  2. Step 2: Convert to fraction form
    16,534.16/24,800.92 = 4,847.12/x
  3. Step 3: Cross multiply
    16,534.16x = 24,800.92 × 4,847.12
  4. Step 4: Simplify right side
    16,534.16x = 120,213,035.35
  5. Step 5: Solve for x
    x = 120,213,035.35/16,534.16
  6. Step 6: Final answer
    x = 7,270.59

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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.