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Finding the Fourth Proportional to 16,298.46, 24,447.20 and 5,205.80

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Solution

The fourth proportional to 16,298.46, 24,447.20 and 5,205.80 is: 7,808.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,298.46 : 24,447.20 = 5,205.80 : x
  2. Step 2: Convert to fraction form
    16,298.46/24,447.20 = 5,205.80/x
  3. Step 3: Cross multiply
    16,298.46x = 24,447.20 × 5,205.80
  4. Step 4: Simplify right side
    16,298.46x = 127,267,233.76
  5. Step 5: Solve for x
    x = 127,267,233.76/16,298.46
  6. Step 6: Final answer
    x = 7,808.54

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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.