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Finding the Fourth Proportional to 11,705.20, 17,557.20 and 8,424.16

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Solution

The fourth proportional to 11,705.20, 17,557.20 and 8,424.16 is: 12,635.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,705.20 : 17,557.20 = 8,424.16 : x
  2. Step 2: Convert to fraction form
    11,705.20/17,557.20 = 8,424.16/x
  3. Step 3: Cross multiply
    11,705.20x = 17,557.20 × 8,424.16
  4. Step 4: Simplify right side
    11,705.20x = 147,904,661.95
  5. Step 5: Solve for x
    x = 147,904,661.95/11,705.20
  6. Step 6: Final answer
    x = 12,635.81

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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.