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Finding the Fourth Proportional to 13,013.22, 17,958.48 and 7,639.50

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Solution

The fourth proportional to 13,013.22, 17,958.48 and 7,639.50 is: 10,542.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,013.22 : 17,958.48 = 7,639.50 : x
  2. Step 2: Convert to fraction form
    13,013.22/17,958.48 = 7,639.50/x
  3. Step 3: Cross multiply
    13,013.22x = 17,958.48 × 7,639.50
  4. Step 4: Simplify right side
    13,013.22x = 137,193,807.96
  5. Step 5: Solve for x
    x = 137,193,807.96/13,013.22
  6. Step 6: Final answer
    x = 10,542.65

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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.