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Finding the Fourth Proportional to 13,186.40, 19,790.40 and 5,401.04

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Solution

The fourth proportional to 13,186.40, 19,790.40 and 5,401.04 is: 8,105.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,186.40 : 19,790.40 = 5,401.04 : x
  2. Step 2: Convert to fraction form
    13,186.40/19,790.40 = 5,401.04/x
  3. Step 3: Cross multiply
    13,186.40x = 19,790.40 × 5,401.04
  4. Step 4: Simplify right side
    13,186.40x = 106,888,742.02
  5. Step 5: Solve for x
    x = 106,888,742.02/13,186.40
  6. Step 6: Final answer
    x = 8,105.98

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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.