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Finding the Fourth Proportional to 23,441.65, 32,348.23 and 12,829.23

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Solution

The fourth proportional to 23,441.65, 32,348.23 and 12,829.23 is: 17,703.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,441.65 : 32,348.23 = 12,829.23 : x
  2. Step 2: Convert to fraction form
    23,441.65/32,348.23 = 12,829.23/x
  3. Step 3: Cross multiply
    23,441.65x = 32,348.23 × 12,829.23
  4. Step 4: Simplify right side
    23,441.65x = 415,002,850.69
  5. Step 5: Solve for x
    x = 415,002,850.69/23,441.65
  6. Step 6: Final answer
    x = 17,703.66

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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.