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Finding the Fourth Proportional to 23,283.34, 32,168.64 and 16,241.20

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Solution

The fourth proportional to 23,283.34, 32,168.64 and 16,241.20 is: 22,439.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,283.34 : 32,168.64 = 16,241.20 : x
  2. Step 2: Convert to fraction form
    23,283.34/32,168.64 = 16,241.20/x
  3. Step 3: Cross multiply
    23,283.34x = 32,168.64 × 16,241.20
  4. Step 4: Simplify right side
    23,283.34x = 522,457,315.97
  5. Step 5: Solve for x
    x = 522,457,315.97/23,283.34
  6. Step 6: Final answer
    x = 22,439.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.