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Finding the Fourth Proportional to 13,009.70, 17,953.37 and 7,041.37

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Solution

The fourth proportional to 13,009.70, 17,953.37 and 7,041.37 is: 9,717.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,009.70 : 17,953.37 = 7,041.37 : x
  2. Step 2: Convert to fraction form
    13,009.70/17,953.37 = 7,041.37/x
  3. Step 3: Cross multiply
    13,009.70x = 17,953.37 × 7,041.37
  4. Step 4: Simplify right side
    13,009.70x = 126,416,195.94
  5. Step 5: Solve for x
    x = 126,416,195.94/13,009.70
  6. Step 6: Final answer
    x = 9,717.07

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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.