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Finding the Fourth Proportional to 13,033.54, 17,983.51 and 7,730.07

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Solution

The fourth proportional to 13,033.54, 17,983.51 and 7,730.07 is: 10,665.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,033.54 : 17,983.51 = 7,730.07 : x
  2. Step 2: Convert to fraction form
    13,033.54/17,983.51 = 7,730.07/x
  3. Step 3: Cross multiply
    13,033.54x = 17,983.51 × 7,730.07
  4. Step 4: Simplify right side
    13,033.54x = 139,013,791.15
  5. Step 5: Solve for x
    x = 139,013,791.15/13,033.54
  6. Step 6: Final answer
    x = 10,665.85

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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.