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Finding the Fourth Proportional to 12,666.53, 17,468.46 and 8,185.59

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Solution

The fourth proportional to 12,666.53, 17,468.46 and 8,185.59 is: 11,288.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,666.53 : 17,468.46 = 8,185.59 : x
  2. Step 2: Convert to fraction form
    12,666.53/17,468.46 = 8,185.59/x
  3. Step 3: Cross multiply
    12,666.53x = 17,468.46 × 8,185.59
  4. Step 4: Simplify right side
    12,666.53x = 142,989,651.49
  5. Step 5: Solve for x
    x = 142,989,651.49/12,666.53
  6. Step 6: Final answer
    x = 11,288.78

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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.