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Finding the Fourth Proportional to 23,007.21, 31,751.07 and 12,938.82

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Solution

The fourth proportional to 23,007.21, 31,751.07 and 12,938.82 is: 17,856.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,007.21 : 31,751.07 = 12,938.82 : x
  2. Step 2: Convert to fraction form
    23,007.21/31,751.07 = 12,938.82/x
  3. Step 3: Cross multiply
    23,007.21x = 31,751.07 × 12,938.82
  4. Step 4: Simplify right side
    23,007.21x = 410,821,379.54
  5. Step 5: Solve for x
    x = 410,821,379.54/23,007.21
  6. Step 6: Final answer
    x = 17,856.20

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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.