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Finding the Fourth Proportional to 14,153.92, 21,214.20 and 5,829.84

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Solution

The fourth proportional to 14,153.92, 21,214.20 and 5,829.84 is: 8,737.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,153.92 : 21,214.20 = 5,829.84 : x
  2. Step 2: Convert to fraction form
    14,153.92/21,214.20 = 5,829.84/x
  3. Step 3: Cross multiply
    14,153.92x = 21,214.20 × 5,829.84
  4. Step 4: Simplify right side
    14,153.92x = 123,675,391.73
  5. Step 5: Solve for x
    x = 123,675,391.73/14,153.92
  6. Step 6: Final answer
    x = 8,737.89

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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.