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Finding the Fourth Proportional to 14,684.94, 22,028.22 and 9,523.62

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Solution

The fourth proportional to 14,684.94, 22,028.22 and 9,523.62 is: 14,285.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,684.94 : 22,028.22 = 9,523.62 : x
  2. Step 2: Convert to fraction form
    14,684.94/22,028.22 = 9,523.62/x
  3. Step 3: Cross multiply
    14,684.94x = 22,028.22 × 9,523.62
  4. Step 4: Simplify right side
    14,684.94x = 209,788,396.56
  5. Step 5: Solve for x
    x = 209,788,396.56/14,684.94
  6. Step 6: Final answer
    x = 14,285.96

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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.