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Finding the Fourth Proportional to 13,020.66, 17,968.50 and 7,355.67

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Solution

The fourth proportional to 13,020.66, 17,968.50 and 7,355.67 is: 10,150.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,020.66 : 17,968.50 = 7,355.67 : x
  2. Step 2: Convert to fraction form
    13,020.66/17,968.50 = 7,355.67/x
  3. Step 3: Cross multiply
    13,020.66x = 17,968.50 × 7,355.67
  4. Step 4: Simplify right side
    13,020.66x = 132,170,356.40
  5. Step 5: Solve for x
    x = 132,170,356.40/13,020.66
  6. Step 6: Final answer
    x = 10,150.82

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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.