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Finding the Fourth Proportional to 13,013.06, 17,956.92 and 7,634.93

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Solution

The fourth proportional to 13,013.06, 17,956.92 and 7,634.93 is: 10,535.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,013.06 : 17,956.92 = 7,634.93 : x
  2. Step 2: Convert to fraction form
    13,013.06/17,956.92 = 7,634.93/x
  3. Step 3: Cross multiply
    13,013.06x = 17,956.92 × 7,634.93
  4. Step 4: Simplify right side
    13,013.06x = 137,099,853.15
  5. Step 5: Solve for x
    x = 137,099,853.15/13,013.06
  6. Step 6: Final answer
    x = 10,535.56

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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.