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Finding the Fourth Proportional to 13,103.10, 19,662.75 and 5,311.98

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Solution

The fourth proportional to 13,103.10, 19,662.75 and 5,311.98 is: 7,971.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,103.10 : 19,662.75 = 5,311.98 : x
  2. Step 2: Convert to fraction form
    13,103.10/19,662.75 = 5,311.98/x
  3. Step 3: Cross multiply
    13,103.10x = 19,662.75 × 5,311.98
  4. Step 4: Simplify right side
    13,103.10x = 104,448,134.75
  5. Step 5: Solve for x
    x = 104,448,134.75/13,103.10
  6. Step 6: Final answer
    x = 7,971.25

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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.