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Finding the Fourth Proportional to 23,730.26, 35,599.02 and 7,930.40

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Solution

The fourth proportional to 23,730.26, 35,599.02 and 7,930.40 is: 11,896.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,730.26 : 35,599.02 = 7,930.40 : x
  2. Step 2: Convert to fraction form
    23,730.26/35,599.02 = 7,930.40/x
  3. Step 3: Cross multiply
    23,730.26x = 35,599.02 × 7,930.40
  4. Step 4: Simplify right side
    23,730.26x = 282,314,290.21
  5. Step 5: Solve for x
    x = 282,314,290.21/23,730.26
  6. Step 6: Final answer
    x = 11,896.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.