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Finding the Fourth Proportional to 29,582.80, 40,822.52 and 17,007.60

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Solution

The fourth proportional to 29,582.80, 40,822.52 and 17,007.60 is: 23,469.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,582.80 : 40,822.52 = 17,007.60 : x
  2. Step 2: Convert to fraction form
    29,582.80/40,822.52 = 17,007.60/x
  3. Step 3: Cross multiply
    29,582.80x = 40,822.52 × 17,007.60
  4. Step 4: Simplify right side
    29,582.80x = 694,293,091.15
  5. Step 5: Solve for x
    x = 694,293,091.15/29,582.80
  6. Step 6: Final answer
    x = 23,469.49

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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.