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Finding the Fourth Proportional to 13,009.56, 17,953.16 and 7,041.23

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Solution

The fourth proportional to 13,009.56, 17,953.16 and 7,041.23 is: 9,716.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,009.56 : 17,953.16 = 7,041.23 : x
  2. Step 2: Convert to fraction form
    13,009.56/17,953.16 = 7,041.23/x
  3. Step 3: Cross multiply
    13,009.56x = 17,953.16 × 7,041.23
  4. Step 4: Simplify right side
    13,009.56x = 126,412,391.27
  5. Step 5: Solve for x
    x = 126,412,391.27/13,009.56
  6. Step 6: Final answer
    x = 9,716.88

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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.