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Finding the Fourth Proportional to 33,257.67, 49,889.20 and 9,884.13

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Solution

The fourth proportional to 33,257.67, 49,889.20 and 9,884.13 is: 14,827.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,257.67 : 49,889.20 = 9,884.13 : x
  2. Step 2: Convert to fraction form
    33,257.67/49,889.20 = 9,884.13/x
  3. Step 3: Cross multiply
    33,257.67x = 49,889.20 × 9,884.13
  4. Step 4: Simplify right side
    33,257.67x = 493,111,338.40
  5. Step 5: Solve for x
    x = 493,111,338.40/33,257.67
  6. Step 6: Final answer
    x = 14,827.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.