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Finding the Fourth Proportional to 13,440.10, 20,163.57 and 7,898.11

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Solution

The fourth proportional to 13,440.10, 20,163.57 and 7,898.11 is: 11,849.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,440.10 : 20,163.57 = 7,898.11 : x
  2. Step 2: Convert to fraction form
    13,440.10/20,163.57 = 7,898.11/x
  3. Step 3: Cross multiply
    13,440.10x = 20,163.57 × 7,898.11
  4. Step 4: Simplify right side
    13,440.10x = 159,254,047.15
  5. Step 5: Solve for x
    x = 159,254,047.15/13,440.10
  6. Step 6: Final answer
    x = 11,849.17

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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.