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Finding the Fourth Proportional to 13,022.59, 17,972.97 and 7,985.92

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Solution

The fourth proportional to 13,022.59, 17,972.97 and 7,985.92 is: 11,021.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022.59 : 17,972.97 = 7,985.92 : x
  2. Step 2: Convert to fraction form
    13,022.59/17,972.97 = 7,985.92/x
  3. Step 3: Cross multiply
    13,022.59x = 17,972.97 × 7,985.92
  4. Step 4: Simplify right side
    13,022.59x = 143,530,700.58
  5. Step 5: Solve for x
    x = 143,530,700.58/13,022.59
  6. Step 6: Final answer
    x = 11,021.67

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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.