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Finding the Fourth Proportional to 16,333.82, 22,540 and 9,260.10

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Solution

The fourth proportional to 16,333.82, 22,540 and 9,260.10 is: 12,778.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,333.82 : 22,540 = 9,260.10 : x
  2. Step 2: Convert to fraction form
    16,333.82/22,540 = 9,260.10/x
  3. Step 3: Cross multiply
    16,333.82x = 22,540 × 9,260.10
  4. Step 4: Simplify right side
    16,333.82x = 208,722,654
  5. Step 5: Solve for x
    x = 208,722,654/16,333.82
  6. Step 6: Final answer
    x = 12,778.56

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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.