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Finding the Fourth Proportional to 13,022.12, 17,970.46 and 7,053.83

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Solution

The fourth proportional to 13,022.12, 17,970.46 and 7,053.83 is: 9,734.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022.12 : 17,970.46 = 7,053.83 : x
  2. Step 2: Convert to fraction form
    13,022.12/17,970.46 = 7,053.83/x
  3. Step 3: Cross multiply
    13,022.12x = 17,970.46 × 7,053.83
  4. Step 4: Simplify right side
    13,022.12x = 126,760,630.85
  5. Step 5: Solve for x
    x = 126,760,630.85/13,022.12
  6. Step 6: Final answer
    x = 9,734.26

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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.