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Finding the Fourth Proportional to 14,489.45, 21,740.42 and 7,824.62

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Solution

The fourth proportional to 14,489.45, 21,740.42 and 7,824.62 is: 11,740.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,489.45 : 21,740.42 = 7,824.62 : x
  2. Step 2: Convert to fraction form
    14,489.45/21,740.42 = 7,824.62/x
  3. Step 3: Cross multiply
    14,489.45x = 21,740.42 × 7,824.62
  4. Step 4: Simplify right side
    14,489.45x = 170,110,525.14
  5. Step 5: Solve for x
    x = 170,110,525.14/14,489.45
  6. Step 6: Final answer
    x = 11,740.30

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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.