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Finding the Fourth Proportional to 13,121.60, 19,675.09 and 5,321.30

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Solution

The fourth proportional to 13,121.60, 19,675.09 and 5,321.30 is: 7,978.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,121.60 : 19,675.09 = 5,321.30 : x
  2. Step 2: Convert to fraction form
    13,121.60/19,675.09 = 5,321.30/x
  3. Step 3: Cross multiply
    13,121.60x = 19,675.09 × 5,321.30
  4. Step 4: Simplify right side
    13,121.60x = 104,697,056.42
  5. Step 5: Solve for x
    x = 104,697,056.42/13,121.60
  6. Step 6: Final answer
    x = 7,978.99

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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.