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Finding the Fourth Proportional to 13,026.06, 17,976.02 and 7,057.71

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Solution

The fourth proportional to 13,026.06, 17,976.02 and 7,057.71 is: 9,739.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,026.06 : 17,976.02 = 7,057.71 : x
  2. Step 2: Convert to fraction form
    13,026.06/17,976.02 = 7,057.71/x
  3. Step 3: Cross multiply
    13,026.06x = 17,976.02 × 7,057.71
  4. Step 4: Simplify right side
    13,026.06x = 126,869,500.83
  5. Step 5: Solve for x
    x = 126,869,500.83/13,026.06
  6. Step 6: Final answer
    x = 9,739.67

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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.