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Finding the Fourth Proportional to 12,112.84, 16,709.62 and 10,517.32

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Solution

The fourth proportional to 12,112.84, 16,709.62 and 10,517.32 is: 14,508.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,112.84 : 16,709.62 = 10,517.32 : x
  2. Step 2: Convert to fraction form
    12,112.84/16,709.62 = 10,517.32/x
  3. Step 3: Cross multiply
    12,112.84x = 16,709.62 × 10,517.32
  4. Step 4: Simplify right side
    12,112.84x = 175,740,420.62
  5. Step 5: Solve for x
    x = 175,740,420.62/12,112.84
  6. Step 6: Final answer
    x = 14,508.61

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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.