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Finding the Fourth Proportional to 13,405.93, 20,088.38 and 7,166.84

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Solution

The fourth proportional to 13,405.93, 20,088.38 and 7,166.84 is: 10,739.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,405.93 : 20,088.38 = 7,166.84 : x
  2. Step 2: Convert to fraction form
    13,405.93/20,088.38 = 7,166.84/x
  3. Step 3: Cross multiply
    13,405.93x = 20,088.38 × 7,166.84
  4. Step 4: Simplify right side
    13,405.93x = 143,970,122.79
  5. Step 5: Solve for x
    x = 143,970,122.79/13,405.93
  6. Step 6: Final answer
    x = 10,739.29

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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.