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Finding the Fourth Proportional to 14,414.67, 21,624.62 and 6,520.92

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Solution

The fourth proportional to 14,414.67, 21,624.62 and 6,520.92 is: 9,782.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,414.67 : 21,624.62 = 6,520.92 : x
  2. Step 2: Convert to fraction form
    14,414.67/21,624.62 = 6,520.92/x
  3. Step 3: Cross multiply
    14,414.67x = 21,624.62 × 6,520.92
  4. Step 4: Simplify right side
    14,414.67x = 141,012,384.45
  5. Step 5: Solve for x
    x = 141,012,384.45/14,414.67
  6. Step 6: Final answer
    x = 9,782.56

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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.