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Finding the Fourth Proportional to 16,026.50, 24,044.62 and 5,638.26

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Solution

The fourth proportional to 16,026.50, 24,044.62 and 5,638.26 is: 8,459.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,026.50 : 24,044.62 = 5,638.26 : x
  2. Step 2: Convert to fraction form
    16,026.50/24,044.62 = 5,638.26/x
  3. Step 3: Cross multiply
    16,026.50x = 24,044.62 × 5,638.26
  4. Step 4: Simplify right side
    16,026.50x = 135,569,819.16
  5. Step 5: Solve for x
    x = 135,569,819.16/16,026.50
  6. Step 6: Final answer
    x = 8,459.10

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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.