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Finding the Fourth Proportional to 23,409.67, 32,305.85 and 12,800.29

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Solution

The fourth proportional to 23,409.67, 32,305.85 and 12,800.29 is: 17,664.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,409.67 : 32,305.85 = 12,800.29 : x
  2. Step 2: Convert to fraction form
    23,409.67/32,305.85 = 12,800.29/x
  3. Step 3: Cross multiply
    23,409.67x = 32,305.85 × 12,800.29
  4. Step 4: Simplify right side
    23,409.67x = 413,524,248.70
  5. Step 5: Solve for x
    x = 413,524,248.70/23,409.67
  6. Step 6: Final answer
    x = 17,664.68

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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.