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Finding the Fourth Proportional to 21,824.68, 32,736.78 and 9,334.06

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Solution

The fourth proportional to 21,824.68, 32,736.78 and 9,334.06 is: 14,000.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,824.68 : 32,736.78 = 9,334.06 : x
  2. Step 2: Convert to fraction form
    21,824.68/32,736.78 = 9,334.06/x
  3. Step 3: Cross multiply
    21,824.68x = 32,736.78 × 9,334.06
  4. Step 4: Simplify right side
    21,824.68x = 305,567,068.73
  5. Step 5: Solve for x
    x = 305,567,068.73/21,824.68
  6. Step 6: Final answer
    x = 14,000.99

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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.