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Finding the Fourth Proportional to 23,256, 32,092.47 and 12,645.45

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Solution

The fourth proportional to 23,256, 32,092.47 and 12,645.45 is: 17,450.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,256 : 32,092.47 = 12,645.45 : x
  2. Step 2: Convert to fraction form
    23,256/32,092.47 = 12,645.45/x
  3. Step 3: Cross multiply
    23,256x = 32,092.47 × 12,645.45
  4. Step 4: Simplify right side
    23,256x = 405,823,724.76
  5. Step 5: Solve for x
    x = 405,823,724.76/23,256
  6. Step 6: Final answer
    x = 17,450.28

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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.