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Finding the Fourth Proportional to 13,023.06, 17,971.11 and 7,358.46

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Solution

The fourth proportional to 13,023.06, 17,971.11 and 7,358.46 is: 10,154.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,023.06 : 17,971.11 = 7,358.46 : x
  2. Step 2: Convert to fraction form
    13,023.06/17,971.11 = 7,358.46/x
  3. Step 3: Cross multiply
    13,023.06x = 17,971.11 × 7,358.46
  4. Step 4: Simplify right side
    13,023.06x = 132,239,694.09
  5. Step 5: Solve for x
    x = 132,239,694.09/13,023.06
  6. Step 6: Final answer
    x = 10,154.27

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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.