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Finding the Fourth Proportional to 12,529.69, 18,771.07 and 6,282.39

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Solution

The fourth proportional to 12,529.69, 18,771.07 and 6,282.39 is: 9,411.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,529.69 : 18,771.07 = 6,282.39 : x
  2. Step 2: Convert to fraction form
    12,529.69/18,771.07 = 6,282.39/x
  3. Step 3: Cross multiply
    12,529.69x = 18,771.07 × 6,282.39
  4. Step 4: Simplify right side
    12,529.69x = 117,927,072.87
  5. Step 5: Solve for x
    x = 117,927,072.87/12,529.69
  6. Step 6: Final answer
    x = 9,411.81

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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.