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Finding the Fourth Proportional to 14,385.96, 21,552.21 and 7,817.67

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Solution

The fourth proportional to 14,385.96, 21,552.21 and 7,817.67 is: 11,711.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,385.96 : 21,552.21 = 7,817.67 : x
  2. Step 2: Convert to fraction form
    14,385.96/21,552.21 = 7,817.67/x
  3. Step 3: Cross multiply
    14,385.96x = 21,552.21 × 7,817.67
  4. Step 4: Simplify right side
    14,385.96x = 168,487,972.58
  5. Step 5: Solve for x
    x = 168,487,972.58/14,385.96
  6. Step 6: Final answer
    x = 11,711.97

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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.