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Finding the Fourth Proportional to 13,023.10, 17,971.87 and 7,054.79

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Solution

The fourth proportional to 13,023.10, 17,971.87 and 7,054.79 is: 9,735.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,023.10 : 17,971.87 = 7,054.79 : x
  2. Step 2: Convert to fraction form
    13,023.10/17,971.87 = 7,054.79/x
  3. Step 3: Cross multiply
    13,023.10x = 17,971.87 × 7,054.79
  4. Step 4: Simplify right side
    13,023.10x = 126,787,768.76
  5. Step 5: Solve for x
    x = 126,787,768.76/13,023.10
  6. Step 6: Final answer
    x = 9,735.61

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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.