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Finding the Fourth Proportional to 13,106.22, 18,086.93 and 7,441.21

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Solution

The fourth proportional to 13,106.22, 18,086.93 and 7,441.21 is: 10,269.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,106.22 : 18,086.93 = 7,441.21 : x
  2. Step 2: Convert to fraction form
    13,106.22/18,086.93 = 7,441.21/x
  3. Step 3: Cross multiply
    13,106.22x = 18,086.93 × 7,441.21
  4. Step 4: Simplify right side
    13,106.22x = 134,588,644.39
  5. Step 5: Solve for x
    x = 134,588,644.39/13,106.22
  6. Step 6: Final answer
    x = 10,269.07

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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.