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Finding the Fourth Proportional to 13,174.80, 19,762.20 and 11,533.20

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Solution

The fourth proportional to 13,174.80, 19,762.20 and 11,533.20 is: 17,299.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,174.80 : 19,762.20 = 11,533.20 : x
  2. Step 2: Convert to fraction form
    13,174.80/19,762.20 = 11,533.20/x
  3. Step 3: Cross multiply
    13,174.80x = 19,762.20 × 11,533.20
  4. Step 4: Simplify right side
    13,174.80x = 227,921,405.04
  5. Step 5: Solve for x
    x = 227,921,405.04/13,174.80
  6. Step 6: Final answer
    x = 17,299.80

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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.