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Finding the Fourth Proportional to 16,534, 22,819.20 and 11,495.44

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Solution

The fourth proportional to 16,534, 22,819.20 and 11,495.44 is: 15,865.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,534 : 22,819.20 = 11,495.44 : x
  2. Step 2: Convert to fraction form
    16,534/22,819.20 = 11,495.44/x
  3. Step 3: Cross multiply
    16,534x = 22,819.20 × 11,495.44
  4. Step 4: Simplify right side
    16,534x = 262,316,744.45
  5. Step 5: Solve for x
    x = 262,316,744.45/16,534
  6. Step 6: Final answer
    x = 15,865.29

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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.