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Finding the Fourth Proportional to 16,791.76, 23,173.02 and 9,238.51

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Solution

The fourth proportional to 16,791.76, 23,173.02 and 9,238.51 is: 12,749.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,791.76 : 23,173.02 = 9,238.51 : x
  2. Step 2: Convert to fraction form
    16,791.76/23,173.02 = 9,238.51/x
  3. Step 3: Cross multiply
    16,791.76x = 23,173.02 × 9,238.51
  4. Step 4: Simplify right side
    16,791.76x = 214,084,014.94
  5. Step 5: Solve for x
    x = 214,084,014.94/16,791.76
  6. Step 6: Final answer
    x = 12,749.35

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1.5x scale

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.