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Finding the Fourth Proportional to 16,977.54, 23,430.49 and 9,906.24

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Solution

The fourth proportional to 16,977.54, 23,430.49 and 9,906.24 is: 13,671.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,977.54 : 23,430.49 = 9,906.24 : x
  2. Step 2: Convert to fraction form
    16,977.54/23,430.49 = 9,906.24/x
  3. Step 3: Cross multiply
    16,977.54x = 23,430.49 × 9,906.24
  4. Step 4: Simplify right side
    16,977.54x = 232,108,057.26
  5. Step 5: Solve for x
    x = 232,108,057.26/16,977.54
  6. Step 6: Final answer
    x = 13,671.48

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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.