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Finding the Fourth Proportional to 13,166.73, 19,753.54 and 4,734.09

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Solution

The fourth proportional to 13,166.73, 19,753.54 and 4,734.09 is: 7,102.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,166.73 : 19,753.54 = 4,734.09 : x
  2. Step 2: Convert to fraction form
    13,166.73/19,753.54 = 4,734.09/x
  3. Step 3: Cross multiply
    13,166.73x = 19,753.54 × 4,734.09
  4. Step 4: Simplify right side
    13,166.73x = 93,515,024.34
  5. Step 5: Solve for x
    x = 93,515,024.34/13,166.73
  6. Step 6: Final answer
    x = 7,102.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.