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Finding the Fourth Proportional to 12,805.20, 17,664.89 and 8,557.30

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Solution

The fourth proportional to 12,805.20, 17,664.89 and 8,557.30 is: 11,804.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,805.20 : 17,664.89 = 8,557.30 : x
  2. Step 2: Convert to fraction form
    12,805.20/17,664.89 = 8,557.30/x
  3. Step 3: Cross multiply
    12,805.20x = 17,664.89 × 8,557.30
  4. Step 4: Simplify right side
    12,805.20x = 151,163,763.20
  5. Step 5: Solve for x
    x = 151,163,763.20/12,805.20
  6. Step 6: Final answer
    x = 11,804.87

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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.