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Finding the Fourth Proportional to 13,022.29, 17,970.85 and 7,053.96

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Solution

The fourth proportional to 13,022.29, 17,970.85 and 7,053.96 is: 9,734.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022.29 : 17,970.85 = 7,053.96 : x
  2. Step 2: Convert to fraction form
    13,022.29/17,970.85 = 7,053.96/x
  3. Step 3: Cross multiply
    13,022.29x = 17,970.85 × 7,053.96
  4. Step 4: Simplify right side
    13,022.29x = 126,765,647.70
  5. Step 5: Solve for x
    x = 126,765,647.70/13,022.29
  6. Step 6: Final answer
    x = 9,734.51

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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.