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Finding the Fourth Proportional to 23,409.94, 32,305.73 and 12,799.66

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Solution

The fourth proportional to 23,409.94, 32,305.73 and 12,799.66 is: 17,663.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,409.94 : 32,305.73 = 12,799.66 : x
  2. Step 2: Convert to fraction form
    23,409.94/32,305.73 = 12,799.66/x
  3. Step 3: Cross multiply
    23,409.94x = 32,305.73 × 12,799.66
  4. Step 4: Simplify right side
    23,409.94x = 413,502,360.05
  5. Step 5: Solve for x
    x = 413,502,360.05/23,409.94
  6. Step 6: Final answer
    x = 17,663.54

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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.