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Finding the Fourth Proportional to 23,297.52, 34,938.72 and 7,711.50

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Solution

The fourth proportional to 23,297.52, 34,938.72 and 7,711.50 is: 11,564.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,297.52 : 34,938.72 = 7,711.50 : x
  2. Step 2: Convert to fraction form
    23,297.52/34,938.72 = 7,711.50/x
  3. Step 3: Cross multiply
    23,297.52x = 34,938.72 × 7,711.50
  4. Step 4: Simplify right side
    23,297.52x = 269,429,939.28
  5. Step 5: Solve for x
    x = 269,429,939.28/23,297.52
  6. Step 6: Final answer
    x = 11,564.75

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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.