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Finding the Fourth Proportional to 13,022.03, 17,970.27 and 7,053.34

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Solution

The fourth proportional to 13,022.03, 17,970.27 and 7,053.34 is: 9,733.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022.03 : 17,970.27 = 7,053.34 : x
  2. Step 2: Convert to fraction form
    13,022.03/17,970.27 = 7,053.34/x
  3. Step 3: Cross multiply
    13,022.03x = 17,970.27 × 7,053.34
  4. Step 4: Simplify right side
    13,022.03x = 126,750,424.20
  5. Step 5: Solve for x
    x = 126,750,424.20/13,022.03
  6. Step 6: Final answer
    x = 9,733.54

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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.