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Finding the Fourth Proportional to 23,290.50, 34,941.21 and 7,708.14

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Solution

The fourth proportional to 23,290.50, 34,941.21 and 7,708.14 is: 11,564.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,290.50 : 34,941.21 = 7,708.14 : x
  2. Step 2: Convert to fraction form
    23,290.50/34,941.21 = 7,708.14/x
  3. Step 3: Cross multiply
    23,290.50x = 34,941.21 × 7,708.14
  4. Step 4: Simplify right side
    23,290.50x = 269,331,738.45
  5. Step 5: Solve for x
    x = 269,331,738.45/23,290.50
  6. Step 6: Final answer
    x = 11,564.02

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Why These Related Problems?

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