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Finding the Fourth Proportional to 13,021.92, 17,968.32 and 7,355.16

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Solution

The fourth proportional to 13,021.92, 17,968.32 and 7,355.16 is: 10,149.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,021.92 : 17,968.32 = 7,355.16 : x
  2. Step 2: Convert to fraction form
    13,021.92/17,968.32 = 7,355.16/x
  3. Step 3: Cross multiply
    13,021.92x = 17,968.32 × 7,355.16
  4. Step 4: Simplify right side
    13,021.92x = 132,159,868.53
  5. Step 5: Solve for x
    x = 132,159,868.53/13,021.92
  6. Step 6: Final answer
    x = 10,149.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.