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Finding the Fourth Proportional to 13,401.14, 20,095.74 and 7,160.00

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Solution

The fourth proportional to 13,401.14, 20,095.74 and 7,160.00 is: 10,736.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,401.14 : 20,095.74 = 7,160.00 : x
  2. Step 2: Convert to fraction form
    13,401.14/20,095.74 = 7,160.00/x
  3. Step 3: Cross multiply
    13,401.14x = 20,095.74 × 7,160.00
  4. Step 4: Simplify right side
    13,401.14x = 143,885,397.92
  5. Step 5: Solve for x
    x = 143,885,397.92/13,401.14
  6. Step 6: Final answer
    x = 10,736.81

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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.