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Finding the Fourth Proportional to 16,735.73, 23,110.92 and 10,777.77

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Solution

The fourth proportional to 16,735.73, 23,110.92 and 10,777.77 is: 14,883.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,735.73 : 23,110.92 = 10,777.77 : x
  2. Step 2: Convert to fraction form
    16,735.73/23,110.92 = 10,777.77/x
  3. Step 3: Cross multiply
    16,735.73x = 23,110.92 × 10,777.77
  4. Step 4: Simplify right side
    16,735.73x = 249,084,180.25
  5. Step 5: Solve for x
    x = 249,084,180.25/16,735.73
  6. Step 6: Final answer
    x = 14,883.38

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Why These Related Problems?

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