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Finding the Fourth Proportional to 13,009.67, 17,951.42 and 7,630.07

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Solution

The fourth proportional to 13,009.67, 17,951.42 and 7,630.07 is: 10,528.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,009.67 : 17,951.42 = 7,630.07 : x
  2. Step 2: Convert to fraction form
    13,009.67/17,951.42 = 7,630.07/x
  3. Step 3: Cross multiply
    13,009.67x = 17,951.42 × 7,630.07
  4. Step 4: Simplify right side
    13,009.67x = 136,970,591.20
  5. Step 5: Solve for x
    x = 136,970,591.20/13,009.67
  6. Step 6: Final answer
    x = 10,528.37

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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.