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Finding the Fourth Proportional to 14,553.44, 21,834.17 and 5,794.50

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Solution

The fourth proportional to 14,553.44, 21,834.17 and 5,794.50 is: 8,693.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,553.44 : 21,834.17 = 5,794.50 : x
  2. Step 2: Convert to fraction form
    14,553.44/21,834.17 = 5,794.50/x
  3. Step 3: Cross multiply
    14,553.44x = 21,834.17 × 5,794.50
  4. Step 4: Simplify right side
    14,553.44x = 126,518,069.09
  5. Step 5: Solve for x
    x = 126,518,069.09/14,553.44
  6. Step 6: Final answer
    x = 8,693.35

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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.