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Finding the Fourth Proportional to 13,003.88, 17,945.38 and 7,035.59

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Solution

The fourth proportional to 13,003.88, 17,945.38 and 7,035.59 is: 9,709.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,003.88 : 17,945.38 = 7,035.59 : x
  2. Step 2: Convert to fraction form
    13,003.88/17,945.38 = 7,035.59/x
  3. Step 3: Cross multiply
    13,003.88x = 17,945.38 × 7,035.59
  4. Step 4: Simplify right side
    13,003.88x = 126,256,389.73
  5. Step 5: Solve for x
    x = 126,256,389.73/13,003.88
  6. Step 6: Final answer
    x = 9,709.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.