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Finding the Fourth Proportional to 14,311.46, 21,458.82 and 6,516.02

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Solution

The fourth proportional to 14,311.46, 21,458.82 and 6,516.02 is: 9,770.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,311.46 : 21,458.82 = 6,516.02 : x
  2. Step 2: Convert to fraction form
    14,311.46/21,458.82 = 6,516.02/x
  3. Step 3: Cross multiply
    14,311.46x = 21,458.82 × 6,516.02
  4. Step 4: Simplify right side
    14,311.46x = 139,826,100.30
  5. Step 5: Solve for x
    x = 139,826,100.30/14,311.46
  6. Step 6: Final answer
    x = 9,770.22

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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.