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Finding the Fourth Proportional to 13,174.40, 19,762.64 and 4,409.34

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Solution

The fourth proportional to 13,174.40, 19,762.64 and 4,409.34 is: 6,614.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,174.40 : 19,762.64 = 4,409.34 : x
  2. Step 2: Convert to fraction form
    13,174.40/19,762.64 = 4,409.34/x
  3. Step 3: Cross multiply
    13,174.40x = 19,762.64 × 4,409.34
  4. Step 4: Simplify right side
    13,174.40x = 87,140,199.06
  5. Step 5: Solve for x
    x = 87,140,199.06/13,174.40
  6. Step 6: Final answer
    x = 6,614.36

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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.