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Finding the Fourth Proportional to 13,123.50, 18,118.64 and 8,415.99

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Solution

The fourth proportional to 13,123.50, 18,118.64 and 8,415.99 is: 11,619.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,123.50 : 18,118.64 = 8,415.99 : x
  2. Step 2: Convert to fraction form
    13,123.50/18,118.64 = 8,415.99/x
  3. Step 3: Cross multiply
    13,123.50x = 18,118.64 × 8,415.99
  4. Step 4: Simplify right side
    13,123.50x = 152,486,250.97
  5. Step 5: Solve for x
    x = 152,486,250.97/13,123.50
  6. Step 6: Final answer
    x = 11,619.33

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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.