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Finding the Fourth Proportional to 13,004.23, 17,945.71 and 7,035.77

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Solution

The fourth proportional to 13,004.23, 17,945.71 and 7,035.77 is: 9,709.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,004.23 : 17,945.71 = 7,035.77 : x
  2. Step 2: Convert to fraction form
    13,004.23/17,945.71 = 7,035.77/x
  3. Step 3: Cross multiply
    13,004.23x = 17,945.71 × 7,035.77
  4. Step 4: Simplify right side
    13,004.23x = 126,261,888.05
  5. Step 5: Solve for x
    x = 126,261,888.05/13,004.23
  6. Step 6: Final answer
    x = 9,709.29

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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.