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Finding the Fourth Proportional to 26,838.40, 40,241.60 and 16,457.60

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Solution

The fourth proportional to 26,838.40, 40,241.60 and 16,457.60 is: 24,676.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,838.40 : 40,241.60 = 16,457.60 : x
  2. Step 2: Convert to fraction form
    26,838.40/40,241.60 = 16,457.60/x
  3. Step 3: Cross multiply
    26,838.40x = 40,241.60 × 16,457.60
  4. Step 4: Simplify right side
    26,838.40x = 662,280,156.16
  5. Step 5: Solve for x
    x = 662,280,156.16/26,838.40
  6. Step 6: Final answer
    x = 24,676.59

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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.