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Finding the Fourth Proportional to 14,311.92, 21,475.17 and 6,519.72

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Solution

The fourth proportional to 14,311.92, 21,475.17 and 6,519.72 is: 9,782.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,311.92 : 21,475.17 = 6,519.72 : x
  2. Step 2: Convert to fraction form
    14,311.92/21,475.17 = 6,519.72/x
  3. Step 3: Cross multiply
    14,311.92x = 21,475.17 × 6,519.72
  4. Step 4: Simplify right side
    14,311.92x = 140,012,095.35
  5. Step 5: Solve for x
    x = 140,012,095.35/14,311.92
  6. Step 6: Final answer
    x = 9,782.90

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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.