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Finding the Fourth Proportional to 13,023.18, 17,971.96 and 7,055.00

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Solution

The fourth proportional to 13,023.18, 17,971.96 and 7,055.00 is: 9,735.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,023.18 : 17,971.96 = 7,055.00 : x
  2. Step 2: Convert to fraction form
    13,023.18/17,971.96 = 7,055.00/x
  3. Step 3: Cross multiply
    13,023.18x = 17,971.96 × 7,055.00
  4. Step 4: Simplify right side
    13,023.18x = 126,792,052.67
  5. Step 5: Solve for x
    x = 126,792,052.67/13,023.18
  6. Step 6: Final answer
    x = 9,735.88

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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.