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Finding the Fourth Proportional to 12,448.49, 18,644.82 and 9,666.75

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Solution

The fourth proportional to 12,448.49, 18,644.82 and 9,666.75 is: 14,478.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,448.49 : 18,644.82 = 9,666.75 : x
  2. Step 2: Convert to fraction form
    12,448.49/18,644.82 = 9,666.75/x
  3. Step 3: Cross multiply
    12,448.49x = 18,644.82 × 9,666.75
  4. Step 4: Simplify right side
    12,448.49x = 180,234,813.74
  5. Step 5: Solve for x
    x = 180,234,813.74/12,448.49
  6. Step 6: Final answer
    x = 14,478.45

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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.