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Finding the Fourth Proportional to 22,643.28, 33,915.36 and 16,049.46

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Solution

The fourth proportional to 22,643.28, 33,915.36 and 16,049.46 is: 24,039.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,643.28 : 33,915.36 = 16,049.46 : x
  2. Step 2: Convert to fraction form
    22,643.28/33,915.36 = 16,049.46/x
  3. Step 3: Cross multiply
    22,643.28x = 33,915.36 × 16,049.46
  4. Step 4: Simplify right side
    22,643.28x = 544,323,213.71
  5. Step 5: Solve for x
    x = 544,323,213.71/22,643.28
  6. Step 6: Final answer
    x = 24,039.06

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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.