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Finding the Fourth Proportional to 30,251.64, 41,747.58 and 16,822.20

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Solution

The fourth proportional to 30,251.64, 41,747.58 and 16,822.20 is: 23,214.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,251.64 : 41,747.58 = 16,822.20 : x
  2. Step 2: Convert to fraction form
    30,251.64/41,747.58 = 16,822.20/x
  3. Step 3: Cross multiply
    30,251.64x = 41,747.58 × 16,822.20
  4. Step 4: Simplify right side
    30,251.64x = 702,286,140.28
  5. Step 5: Solve for x
    x = 702,286,140.28/30,251.64
  6. Step 6: Final answer
    x = 23,214.81

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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.