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Finding the Fourth Proportional to 14,455.40, 21,683.10 and 8,234.60

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Solution

The fourth proportional to 14,455.40, 21,683.10 and 8,234.60 is: 12,351.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,455.40 : 21,683.10 = 8,234.60 : x
  2. Step 2: Convert to fraction form
    14,455.40/21,683.10 = 8,234.60/x
  3. Step 3: Cross multiply
    14,455.40x = 21,683.10 × 8,234.60
  4. Step 4: Simplify right side
    14,455.40x = 178,551,655.26
  5. Step 5: Solve for x
    x = 178,551,655.26/14,455.40
  6. Step 6: Final answer
    x = 12,351.90

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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.