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Finding the Fourth Proportional to 13,013.06, 17,959.65 and 7,709.90

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Solution

The fourth proportional to 13,013.06, 17,959.65 and 7,709.90 is: 10,640.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,013.06 : 17,959.65 = 7,709.90 : x
  2. Step 2: Convert to fraction form
    13,013.06/17,959.65 = 7,709.90/x
  3. Step 3: Cross multiply
    13,013.06x = 17,959.65 × 7,709.90
  4. Step 4: Simplify right side
    13,013.06x = 138,467,105.54
  5. Step 5: Solve for x
    x = 138,467,105.54/13,013.06
  6. Step 6: Final answer
    x = 10,640.63

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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.