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Finding the Fourth Proportional to 23,312.25, 34,973.87 and 7,729.88

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Solution

The fourth proportional to 23,312.25, 34,973.87 and 7,729.88 is: 11,596.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,312.25 : 34,973.87 = 7,729.88 : x
  2. Step 2: Convert to fraction form
    23,312.25/34,973.87 = 7,729.88/x
  3. Step 3: Cross multiply
    23,312.25x = 34,973.87 × 7,729.88
  4. Step 4: Simplify right side
    23,312.25x = 270,343,604.72
  5. Step 5: Solve for x
    x = 270,343,604.72/23,312.25
  6. Step 6: Final answer
    x = 11,596.63

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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.