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Finding the Fourth Proportional to 13,473.90, 18,588.87 and 8,166.78

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Solution

The fourth proportional to 13,473.90, 18,588.87 and 8,166.78 is: 11,267.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,473.90 : 18,588.87 = 8,166.78 : x
  2. Step 2: Convert to fraction form
    13,473.90/18,588.87 = 8,166.78/x
  3. Step 3: Cross multiply
    13,473.90x = 18,588.87 × 8,166.78
  4. Step 4: Simplify right side
    13,473.90x = 151,811,211.74
  5. Step 5: Solve for x
    x = 151,811,211.74/13,473.90
  6. Step 6: Final answer
    x = 11,267.06

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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.