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Finding the Fourth Proportional to 16,266.46, 24,407.88 and 6,412.81

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Solution

The fourth proportional to 16,266.46, 24,407.88 and 6,412.81 is: 9,622.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,266.46 : 24,407.88 = 6,412.81 : x
  2. Step 2: Convert to fraction form
    16,266.46/24,407.88 = 6,412.81/x
  3. Step 3: Cross multiply
    16,266.46x = 24,407.88 × 6,412.81
  4. Step 4: Simplify right side
    16,266.46x = 156,523,096.94
  5. Step 5: Solve for x
    x = 156,523,096.94/16,266.46
  6. Step 6: Final answer
    x = 9,622.44

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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.