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Finding the Fourth Proportional to 12,533.72, 17,288.94 and 8,284.82

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Solution

The fourth proportional to 12,533.72, 17,288.94 and 8,284.82 is: 11,428.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,533.72 : 17,288.94 = 8,284.82 : x
  2. Step 2: Convert to fraction form
    12,533.72/17,288.94 = 8,284.82/x
  3. Step 3: Cross multiply
    12,533.72x = 17,288.94 × 8,284.82
  4. Step 4: Simplify right side
    12,533.72x = 143,235,755.89
  5. Step 5: Solve for x
    x = 143,235,755.89/12,533.72
  6. Step 6: Final answer
    x = 11,428.03

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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.